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Finding the Fourth Proportional to 13,732, 18,965.70 and 9,247.96

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Solution

The fourth proportional to 13,732, 18,965.70 and 9,247.96 is: 12,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732 : 18,965.70 = 9,247.96 : x
  2. Step 2: Convert to fraction form
    13,732/18,965.70 = 9,247.96/x
  3. Step 3: Cross multiply
    13,732x = 18,965.70 × 9,247.96
  4. Step 4: Simplify right side
    13,732x = 175,394,034.97
  5. Step 5: Solve for x
    x = 175,394,034.97/13,732
  6. Step 6: Final answer
    x = 12,772.65

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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.