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Finding the Fourth Proportional to 17,138.66, 25,711.50 and 7,277.90

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Solution

The fourth proportional to 17,138.66, 25,711.50 and 7,277.90 is: 10,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.66 : 25,711.50 = 7,277.90 : x
  2. Step 2: Convert to fraction form
    17,138.66/25,711.50 = 7,277.90/x
  3. Step 3: Cross multiply
    17,138.66x = 25,711.50 × 7,277.90
  4. Step 4: Simplify right side
    17,138.66x = 187,125,725.85
  5. Step 5: Solve for x
    x = 187,125,725.85/17,138.66
  6. Step 6: Final answer
    x = 10,918.34

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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.