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Finding the Fourth Proportional to 7,642.43, 11,463.17 and 2,711.42

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Solution

The fourth proportional to 7,642.43, 11,463.17 and 2,711.42 is: 4,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.43 : 11,463.17 = 2,711.42 : x
  2. Step 2: Convert to fraction form
    7,642.43/11,463.17 = 2,711.42/x
  3. Step 3: Cross multiply
    7,642.43x = 11,463.17 × 2,711.42
  4. Step 4: Simplify right side
    7,642.43x = 31,081,397.53
  5. Step 5: Solve for x
    x = 31,081,397.53/7,642.43
  6. Step 6: Final answer
    x = 4,066.95

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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.