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Finding the Fourth Proportional to 13,687.92, 20,494.80 and 7,100.31

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Solution

The fourth proportional to 13,687.92, 20,494.80 and 7,100.31 is: 10,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.92 : 20,494.80 = 7,100.31 : x
  2. Step 2: Convert to fraction form
    13,687.92/20,494.80 = 7,100.31/x
  3. Step 3: Cross multiply
    13,687.92x = 20,494.80 × 7,100.31
  4. Step 4: Simplify right side
    13,687.92x = 145,519,433.39
  5. Step 5: Solve for x
    x = 145,519,433.39/13,687.92
  6. Step 6: Final answer
    x = 10,631.23

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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.