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Finding the Fourth Proportional to 8,158.07, 12,241.29 and 3,998

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Solution

The fourth proportional to 8,158.07, 12,241.29 and 3,998 is: 5,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.07 : 12,241.29 = 3,998 : x
  2. Step 2: Convert to fraction form
    8,158.07/12,241.29 = 3,998/x
  3. Step 3: Cross multiply
    8,158.07x = 12,241.29 × 3,998
  4. Step 4: Simplify right side
    8,158.07x = 48,940,677.42
  5. Step 5: Solve for x
    x = 48,940,677.42/8,158.07
  6. Step 6: Final answer
    x = 5,999.05

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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.