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Finding the Fourth Proportional to 25,160, 34,720.82 and 13,982

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Solution

The fourth proportional to 25,160, 34,720.82 and 13,982 is: 19,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160 : 34,720.82 = 13,982 : x
  2. Step 2: Convert to fraction form
    25,160/34,720.82 = 13,982/x
  3. Step 3: Cross multiply
    25,160x = 34,720.82 × 13,982
  4. Step 4: Simplify right side
    25,160x = 485,466,505.24
  5. Step 5: Solve for x
    x = 485,466,505.24/25,160
  6. Step 6: Final answer
    x = 19,295.17

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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.