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Finding the Fourth Proportional to 12,471, 17,209.98 and 6,882

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Solution

The fourth proportional to 12,471, 17,209.98 and 6,882 is: 9,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 17,209.98 = 6,882 : x
  2. Step 2: Convert to fraction form
    12,471/17,209.98 = 6,882/x
  3. Step 3: Cross multiply
    12,471x = 17,209.98 × 6,882
  4. Step 4: Simplify right side
    12,471x = 118,439,082.36
  5. Step 5: Solve for x
    x = 118,439,082.36/12,471
  6. Step 6: Final answer
    x = 9,497.16

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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.