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Finding the Fourth Proportional to 8,377.96, 12,549.30 and 3,991

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Solution

The fourth proportional to 8,377.96, 12,549.30 and 3,991 is: 5,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.96 : 12,549.30 = 3,991 : x
  2. Step 2: Convert to fraction form
    8,377.96/12,549.30 = 3,991/x
  3. Step 3: Cross multiply
    8,377.96x = 12,549.30 × 3,991
  4. Step 4: Simplify right side
    8,377.96x = 50,084,256.30
  5. Step 5: Solve for x
    x = 50,084,256.30/8,377.96
  6. Step 6: Final answer
    x = 5,978.10

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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.