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Finding the Fourth Proportional to 10,580.47, 15,871.20 and 8,728.15

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Solution

The fourth proportional to 10,580.47, 15,871.20 and 8,728.15 is: 13,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.47 : 15,871.20 = 8,728.15 : x
  2. Step 2: Convert to fraction form
    10,580.47/15,871.20 = 8,728.15/x
  3. Step 3: Cross multiply
    10,580.47x = 15,871.20 × 8,728.15
  4. Step 4: Simplify right side
    10,580.47x = 138,526,174.60
  5. Step 5: Solve for x
    x = 138,526,174.60/10,580.47
  6. Step 6: Final answer
    x = 13,092.63

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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.