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Finding the Fourth Proportional to 2,711.52, 4,066.68 and 763.20

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Solution

The fourth proportional to 2,711.52, 4,066.68 and 763.20 is: 1,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.52 : 4,066.68 = 763.20 : x
  2. Step 2: Convert to fraction form
    2,711.52/4,066.68 = 763.20/x
  3. Step 3: Cross multiply
    2,711.52x = 4,066.68 × 763.20
  4. Step 4: Simplify right side
    2,711.52x = 3,103,690.18
  5. Step 5: Solve for x
    x = 3,103,690.18/2,711.52
  6. Step 6: Final answer
    x = 1,144.63

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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.