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Finding the Fourth Proportional to 6,816.69, 9,406.90 and 4,164.10

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Solution

The fourth proportional to 6,816.69, 9,406.90 and 4,164.10 is: 5,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.69 : 9,406.90 = 4,164.10 : x
  2. Step 2: Convert to fraction form
    6,816.69/9,406.90 = 4,164.10/x
  3. Step 3: Cross multiply
    6,816.69x = 9,406.90 × 4,164.10
  4. Step 4: Simplify right side
    6,816.69x = 39,171,272.29
  5. Step 5: Solve for x
    x = 39,171,272.29/6,816.69
  6. Step 6: Final answer
    x = 5,746.38

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Find fourth proportional to 3,408.35, 4,703.45 and 2,082.05
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.