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Finding the Fourth Proportional to 10,516.88, 15,747.24 and 9,271.28

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Solution

The fourth proportional to 10,516.88, 15,747.24 and 9,271.28 is: 13,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.88 : 15,747.24 = 9,271.28 : x
  2. Step 2: Convert to fraction form
    10,516.88/15,747.24 = 9,271.28/x
  3. Step 3: Cross multiply
    10,516.88x = 15,747.24 × 9,271.28
  4. Step 4: Simplify right side
    10,516.88x = 145,997,071.27
  5. Step 5: Solve for x
    x = 145,997,071.27/10,516.88
  6. Step 6: Final answer
    x = 13,882.17

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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.