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Finding the Fourth Proportional to 10,321.53, 15,467.54 and 8,247.84

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Solution

The fourth proportional to 10,321.53, 15,467.54 and 8,247.84 is: 12,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.53 : 15,467.54 = 8,247.84 : x
  2. Step 2: Convert to fraction form
    10,321.53/15,467.54 = 8,247.84/x
  3. Step 3: Cross multiply
    10,321.53x = 15,467.54 × 8,247.84
  4. Step 4: Simplify right side
    10,321.53x = 127,573,753.87
  5. Step 5: Solve for x
    x = 127,573,753.87/10,321.53
  6. Step 6: Final answer
    x = 12,359.97

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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.