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Finding the Fourth Proportional to 13,124, 19,691.80 and 6,882.52

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Solution

The fourth proportional to 13,124, 19,691.80 and 6,882.52 is: 10,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124 : 19,691.80 = 6,882.52 : x
  2. Step 2: Convert to fraction form
    13,124/19,691.80 = 6,882.52/x
  3. Step 3: Cross multiply
    13,124x = 19,691.80 × 6,882.52
  4. Step 4: Simplify right side
    13,124x = 135,529,207.34
  5. Step 5: Solve for x
    x = 135,529,207.34/13,124
  6. Step 6: Final answer
    x = 10,326.82

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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.