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Finding the Fourth Proportional to 8,438.96, 12,662.40 and 8,264

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Solution

The fourth proportional to 8,438.96, 12,662.40 and 8,264 is: 12,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.96 : 12,662.40 = 8,264 : x
  2. Step 2: Convert to fraction form
    8,438.96/12,662.40 = 8,264/x
  3. Step 3: Cross multiply
    8,438.96x = 12,662.40 × 8,264
  4. Step 4: Simplify right side
    8,438.96x = 104,642,073.60
  5. Step 5: Solve for x
    x = 104,642,073.60/8,438.96
  6. Step 6: Final answer
    x = 12,399.88

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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.