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Finding the Fourth Proportional to 8,251.71, 12,376.40 and 2,705.30

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Solution

The fourth proportional to 8,251.71, 12,376.40 and 2,705.30 is: 4,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.71 : 12,376.40 = 2,705.30 : x
  2. Step 2: Convert to fraction form
    8,251.71/12,376.40 = 2,705.30/x
  3. Step 3: Cross multiply
    8,251.71x = 12,376.40 × 2,705.30
  4. Step 4: Simplify right side
    8,251.71x = 33,481,845.92
  5. Step 5: Solve for x
    x = 33,481,845.92/8,251.71
  6. Step 6: Final answer
    x = 4,057.57

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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.