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Finding the Fourth Proportional to 10,892, 15,031.20 and 6,643.28

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Solution

The fourth proportional to 10,892, 15,031.20 and 6,643.28 is: 9,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892 : 15,031.20 = 6,643.28 : x
  2. Step 2: Convert to fraction form
    10,892/15,031.20 = 6,643.28/x
  3. Step 3: Cross multiply
    10,892x = 15,031.20 × 6,643.28
  4. Step 4: Simplify right side
    10,892x = 99,856,470.34
  5. Step 5: Solve for x
    x = 99,856,470.34/10,892
  6. Step 6: Final answer
    x = 9,167.87

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Why These Related Problems?

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