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Finding the Fourth Proportional to 13,988.65, 20,972.49 and 8,440.68

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Solution

The fourth proportional to 13,988.65, 20,972.49 and 8,440.68 is: 12,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.65 : 20,972.49 = 8,440.68 : x
  2. Step 2: Convert to fraction form
    13,988.65/20,972.49 = 8,440.68/x
  3. Step 3: Cross multiply
    13,988.65x = 20,972.49 × 8,440.68
  4. Step 4: Simplify right side
    13,988.65x = 177,022,076.89
  5. Step 5: Solve for x
    x = 177,022,076.89/13,988.65
  6. Step 6: Final answer
    x = 12,654.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.