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Finding the Fourth Proportional to 18,080, 27,130.24 and 8,352

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Solution

The fourth proportional to 18,080, 27,130.24 and 8,352 is: 12,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,080 : 27,130.24 = 8,352 : x
  2. Step 2: Convert to fraction form
    18,080/27,130.24 = 8,352/x
  3. Step 3: Cross multiply
    18,080x = 27,130.24 × 8,352
  4. Step 4: Simplify right side
    18,080x = 226,591,764.48
  5. Step 5: Solve for x
    x = 226,591,764.48/18,080
  6. Step 6: Final answer
    x = 12,532.73

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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.