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Finding the Fourth Proportional to 2,732.49, 3,781.67 and 2,666.97

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Solution

The fourth proportional to 2,732.49, 3,781.67 and 2,666.97 is: 3,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.49 : 3,781.67 = 2,666.97 : x
  2. Step 2: Convert to fraction form
    2,732.49/3,781.67 = 2,666.97/x
  3. Step 3: Cross multiply
    2,732.49x = 3,781.67 × 2,666.97
  4. Step 4: Simplify right side
    2,732.49x = 10,085,587.11
  5. Step 5: Solve for x
    x = 10,085,587.11/2,732.49
  6. Step 6: Final answer
    x = 3,690.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.