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Finding the Fourth Proportional to 8,250.64, 12,376.56 and 2,407.40

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Solution

The fourth proportional to 8,250.64, 12,376.56 and 2,407.40 is: 3,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.64 : 12,376.56 = 2,407.40 : x
  2. Step 2: Convert to fraction form
    8,250.64/12,376.56 = 2,407.40/x
  3. Step 3: Cross multiply
    8,250.64x = 12,376.56 × 2,407.40
  4. Step 4: Simplify right side
    8,250.64x = 29,795,330.54
  5. Step 5: Solve for x
    x = 29,795,330.54/8,250.64
  6. Step 6: Final answer
    x = 3,611.28

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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.