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Finding the Fourth Proportional to 17,171.92, 25,748 and 9,156.80

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Solution

The fourth proportional to 17,171.92, 25,748 and 9,156.80 is: 13,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.92 : 25,748 = 9,156.80 : x
  2. Step 2: Convert to fraction form
    17,171.92/25,748 = 9,156.80/x
  3. Step 3: Cross multiply
    17,171.92x = 25,748 × 9,156.80
  4. Step 4: Simplify right side
    17,171.92x = 235,769,286.40
  5. Step 5: Solve for x
    x = 235,769,286.40/17,171.92
  6. Step 6: Final answer
    x = 13,729.93

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1.5x scale

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.