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Finding the Fourth Proportional to 12,912.27, 17,819.09 and 7,248.24

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Solution

The fourth proportional to 12,912.27, 17,819.09 and 7,248.24 is: 10,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.27 : 17,819.09 = 7,248.24 : x
  2. Step 2: Convert to fraction form
    12,912.27/17,819.09 = 7,248.24/x
  3. Step 3: Cross multiply
    12,912.27x = 17,819.09 × 7,248.24
  4. Step 4: Simplify right side
    12,912.27x = 129,157,040.90
  5. Step 5: Solve for x
    x = 129,157,040.90/12,912.27
  6. Step 6: Final answer
    x = 10,002.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.