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Finding the Fourth Proportional to 8,375, 12,562.50 and 3,447.32

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Solution

The fourth proportional to 8,375, 12,562.50 and 3,447.32 is: 5,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375 : 12,562.50 = 3,447.32 : x
  2. Step 2: Convert to fraction form
    8,375/12,562.50 = 3,447.32/x
  3. Step 3: Cross multiply
    8,375x = 12,562.50 × 3,447.32
  4. Step 4: Simplify right side
    8,375x = 43,306,957.50
  5. Step 5: Solve for x
    x = 43,306,957.50/8,375
  6. Step 6: Final answer
    x = 5,170.98

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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.