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Finding the Fourth Proportional to 11,655.40, 17,489.50 and 5,499.24

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Solution

The fourth proportional to 11,655.40, 17,489.50 and 5,499.24 is: 8,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.40 : 17,489.50 = 5,499.24 : x
  2. Step 2: Convert to fraction form
    11,655.40/17,489.50 = 5,499.24/x
  3. Step 3: Cross multiply
    11,655.40x = 17,489.50 × 5,499.24
  4. Step 4: Simplify right side
    11,655.40x = 96,178,957.98
  5. Step 5: Solve for x
    x = 96,178,957.98/11,655.40
  6. Step 6: Final answer
    x = 8,251.88

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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.