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Finding the Fourth Proportional to 2,689.72, 4,034.55 and 1,593.29

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Solution

The fourth proportional to 2,689.72, 4,034.55 and 1,593.29 is: 2,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.72 : 4,034.55 = 1,593.29 : x
  2. Step 2: Convert to fraction form
    2,689.72/4,034.55 = 1,593.29/x
  3. Step 3: Cross multiply
    2,689.72x = 4,034.55 × 1,593.29
  4. Step 4: Simplify right side
    2,689.72x = 6,428,208.17
  5. Step 5: Solve for x
    x = 6,428,208.17/2,689.72
  6. Step 6: Final answer
    x = 2,389.92

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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.