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Finding the Fourth Proportional to 3,613.71, 5,420.44 and 1,532.38

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Solution

The fourth proportional to 3,613.71, 5,420.44 and 1,532.38 is: 2,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.71 : 5,420.44 = 1,532.38 : x
  2. Step 2: Convert to fraction form
    3,613.71/5,420.44 = 1,532.38/x
  3. Step 3: Cross multiply
    3,613.71x = 5,420.44 × 1,532.38
  4. Step 4: Simplify right side
    3,613.71x = 8,306,146.75
  5. Step 5: Solve for x
    x = 8,306,146.75/3,613.71
  6. Step 6: Final answer
    x = 2,298.51

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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.