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Finding the Fourth Proportional to 17,143.80, 25,711.20 and 7,278

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Solution

The fourth proportional to 17,143.80, 25,711.20 and 7,278 is: 10,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.80 : 25,711.20 = 7,278 : x
  2. Step 2: Convert to fraction form
    17,143.80/25,711.20 = 7,278/x
  3. Step 3: Cross multiply
    17,143.80x = 25,711.20 × 7,278
  4. Step 4: Simplify right side
    17,143.80x = 187,126,113.60
  5. Step 5: Solve for x
    x = 187,126,113.60/17,143.80
  6. Step 6: Final answer
    x = 10,915.09

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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.