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Finding the Fourth Proportional to 5,674.14, 7,829.10 and 3,315.21

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Solution

The fourth proportional to 5,674.14, 7,829.10 and 3,315.21 is: 4,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.14 : 7,829.10 = 3,315.21 : x
  2. Step 2: Convert to fraction form
    5,674.14/7,829.10 = 3,315.21/x
  3. Step 3: Cross multiply
    5,674.14x = 7,829.10 × 3,315.21
  4. Step 4: Simplify right side
    5,674.14x = 25,955,110.61
  5. Step 5: Solve for x
    x = 25,955,110.61/5,674.14
  6. Step 6: Final answer
    x = 4,574.28

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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.