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Finding the Fourth Proportional to 10,561.77, 15,832.89 and 5,366.43

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Solution

The fourth proportional to 10,561.77, 15,832.89 and 5,366.43 is: 8,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.77 : 15,832.89 = 5,366.43 : x
  2. Step 2: Convert to fraction form
    10,561.77/15,832.89 = 5,366.43/x
  3. Step 3: Cross multiply
    10,561.77x = 15,832.89 × 5,366.43
  4. Step 4: Simplify right side
    10,561.77x = 84,966,095.88
  5. Step 5: Solve for x
    x = 84,966,095.88/10,561.77
  6. Step 6: Final answer
    x = 8,044.68

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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.