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Finding the Fourth Proportional to 8,257.68, 12,376.44 and 3,869.28

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Solution

The fourth proportional to 8,257.68, 12,376.44 and 3,869.28 is: 5,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.68 : 12,376.44 = 3,869.28 : x
  2. Step 2: Convert to fraction form
    8,257.68/12,376.44 = 3,869.28/x
  3. Step 3: Cross multiply
    8,257.68x = 12,376.44 × 3,869.28
  4. Step 4: Simplify right side
    8,257.68x = 47,887,911.76
  5. Step 5: Solve for x
    x = 47,887,911.76/8,257.68
  6. Step 6: Final answer
    x = 5,799.20

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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.