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Finding the Fourth Proportional to 8,251.16, 12,375.81 and 2,407.82

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Solution

The fourth proportional to 8,251.16, 12,375.81 and 2,407.82 is: 3,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.16 : 12,375.81 = 2,407.82 : x
  2. Step 2: Convert to fraction form
    8,251.16/12,375.81 = 2,407.82/x
  3. Step 3: Cross multiply
    8,251.16x = 12,375.81 × 2,407.82
  4. Step 4: Simplify right side
    8,251.16x = 29,798,660.96
  5. Step 5: Solve for x
    x = 29,798,660.96/8,251.16
  6. Step 6: Final answer
    x = 3,611.45

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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.