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Finding the Fourth Proportional to 12,571, 17,348.52 and 6,982

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Solution

The fourth proportional to 12,571, 17,348.52 and 6,982 is: 9,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571 : 17,348.52 = 6,982 : x
  2. Step 2: Convert to fraction form
    12,571/17,348.52 = 6,982/x
  3. Step 3: Cross multiply
    12,571x = 17,348.52 × 6,982
  4. Step 4: Simplify right side
    12,571x = 121,127,366.64
  5. Step 5: Solve for x
    x = 121,127,366.64/12,571
  6. Step 6: Final answer
    x = 9,635.46

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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.