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Finding the Fourth Proportional to 11,652.56, 17,481.40 and 8,565.20

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Solution

The fourth proportional to 11,652.56, 17,481.40 and 8,565.20 is: 12,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.56 : 17,481.40 = 8,565.20 : x
  2. Step 2: Convert to fraction form
    11,652.56/17,481.40 = 8,565.20/x
  3. Step 3: Cross multiply
    11,652.56x = 17,481.40 × 8,565.20
  4. Step 4: Simplify right side
    11,652.56x = 149,731,687.28
  5. Step 5: Solve for x
    x = 149,731,687.28/11,652.56
  6. Step 6: Final answer
    x = 12,849.68

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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.