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Finding the Fourth Proportional to 8,257.24, 12,375.06 and 7,157.08

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Solution

The fourth proportional to 8,257.24, 12,375.06 and 7,157.08 is: 10,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.24 : 12,375.06 = 7,157.08 : x
  2. Step 2: Convert to fraction form
    8,257.24/12,375.06 = 7,157.08/x
  3. Step 3: Cross multiply
    8,257.24x = 12,375.06 × 7,157.08
  4. Step 4: Simplify right side
    8,257.24x = 88,569,294.42
  5. Step 5: Solve for x
    x = 88,569,294.42/8,257.24
  6. Step 6: Final answer
    x = 10,726.26

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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.