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Finding the Fourth Proportional to 12,472, 17,211.60 and 6,882.88

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Solution

The fourth proportional to 12,472, 17,211.60 and 6,882.88 is: 9,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472 : 17,211.60 = 6,882.88 : x
  2. Step 2: Convert to fraction form
    12,472/17,211.60 = 6,882.88/x
  3. Step 3: Cross multiply
    12,472x = 17,211.60 × 6,882.88
  4. Step 4: Simplify right side
    12,472x = 118,465,377.41
  5. Step 5: Solve for x
    x = 118,465,377.41/12,472
  6. Step 6: Final answer
    x = 9,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.