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Finding the Fourth Proportional to 5,609.97, 7,742.13 and 3,718.29

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Solution

The fourth proportional to 5,609.97, 7,742.13 and 3,718.29 is: 5,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.97 : 7,742.13 = 3,718.29 : x
  2. Step 2: Convert to fraction form
    5,609.97/7,742.13 = 3,718.29/x
  3. Step 3: Cross multiply
    5,609.97x = 7,742.13 × 3,718.29
  4. Step 4: Simplify right side
    5,609.97x = 28,787,484.56
  5. Step 5: Solve for x
    x = 28,787,484.56/5,609.97
  6. Step 6: Final answer
    x = 5,131.49

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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.