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Finding the Fourth Proportional to 24,858, 34,304.76 and 13,680

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Solution

The fourth proportional to 24,858, 34,304.76 and 13,680 is: 18,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858 : 34,304.76 = 13,680 : x
  2. Step 2: Convert to fraction form
    24,858/34,304.76 = 13,680/x
  3. Step 3: Cross multiply
    24,858x = 34,304.76 × 13,680
  4. Step 4: Simplify right side
    24,858x = 469,289,116.80
  5. Step 5: Solve for x
    x = 469,289,116.80/24,858
  6. Step 6: Final answer
    x = 18,878.80

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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.