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Finding the Fourth Proportional to 8,250.42, 12,359.12 and 4,961.70

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Solution

The fourth proportional to 8,250.42, 12,359.12 and 4,961.70 is: 7,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.42 : 12,359.12 = 4,961.70 : x
  2. Step 2: Convert to fraction form
    8,250.42/12,359.12 = 4,961.70/x
  3. Step 3: Cross multiply
    8,250.42x = 12,359.12 × 4,961.70
  4. Step 4: Simplify right side
    8,250.42x = 61,322,245.70
  5. Step 5: Solve for x
    x = 61,322,245.70/8,250.42
  6. Step 6: Final answer
    x = 7,432.62

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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.