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Finding the Fourth Proportional to 10,891.46, 16,332 and 6,389.87

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Solution

The fourth proportional to 10,891.46, 16,332 and 6,389.87 is: 9,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.46 : 16,332 = 6,389.87 : x
  2. Step 2: Convert to fraction form
    10,891.46/16,332 = 6,389.87/x
  3. Step 3: Cross multiply
    10,891.46x = 16,332 × 6,389.87
  4. Step 4: Simplify right side
    10,891.46x = 104,359,356.84
  5. Step 5: Solve for x
    x = 104,359,356.84/10,891.46
  6. Step 6: Final answer
    x = 9,581.76

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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.