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Finding the Fourth Proportional to 3,406.70, 5,110.05 and 3,385.10

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Solution

The fourth proportional to 3,406.70, 5,110.05 and 3,385.10 is: 5,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.70 : 5,110.05 = 3,385.10 : x
  2. Step 2: Convert to fraction form
    3,406.70/5,110.05 = 3,385.10/x
  3. Step 3: Cross multiply
    3,406.70x = 5,110.05 × 3,385.10
  4. Step 4: Simplify right side
    3,406.70x = 17,298,030.26
  5. Step 5: Solve for x
    x = 17,298,030.26/3,406.70
  6. Step 6: Final answer
    x = 5,077.65

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.