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Finding the Fourth Proportional to 13,687.60, 20,531.40 and 9,969.70

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Solution

The fourth proportional to 13,687.60, 20,531.40 and 9,969.70 is: 14,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.60 : 20,531.40 = 9,969.70 : x
  2. Step 2: Convert to fraction form
    13,687.60/20,531.40 = 9,969.70/x
  3. Step 3: Cross multiply
    13,687.60x = 20,531.40 × 9,969.70
  4. Step 4: Simplify right side
    13,687.60x = 204,691,898.58
  5. Step 5: Solve for x
    x = 204,691,898.58/13,687.60
  6. Step 6: Final answer
    x = 14,954.55

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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.