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Finding the Fourth Proportional to 23,684, 32,683.92 and 13,748

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Solution

The fourth proportional to 23,684, 32,683.92 and 13,748 is: 18,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684 : 32,683.92 = 13,748 : x
  2. Step 2: Convert to fraction form
    23,684/32,683.92 = 13,748/x
  3. Step 3: Cross multiply
    23,684x = 32,683.92 × 13,748
  4. Step 4: Simplify right side
    23,684x = 449,338,532.16
  5. Step 5: Solve for x
    x = 449,338,532.16/23,684
  6. Step 6: Final answer
    x = 18,972.24

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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.