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Finding the Fourth Proportional to 17,138.70, 25,708.05 and 13,245.90

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Solution

The fourth proportional to 17,138.70, 25,708.05 and 13,245.90 is: 19,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.70 : 25,708.05 = 13,245.90 : x
  2. Step 2: Convert to fraction form
    17,138.70/25,708.05 = 13,245.90/x
  3. Step 3: Cross multiply
    17,138.70x = 25,708.05 × 13,245.90
  4. Step 4: Simplify right side
    17,138.70x = 340,526,259.50
  5. Step 5: Solve for x
    x = 340,526,259.50/17,138.70
  6. Step 6: Final answer
    x = 19,868.85

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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.