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Finding the Fourth Proportional to 8,086, 12,129.04 and 2,242.19

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Solution

The fourth proportional to 8,086, 12,129.04 and 2,242.19 is: 3,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086 : 12,129.04 = 2,242.19 : x
  2. Step 2: Convert to fraction form
    8,086/12,129.04 = 2,242.19/x
  3. Step 3: Cross multiply
    8,086x = 12,129.04 × 2,242.19
  4. Step 4: Simplify right side
    8,086x = 27,195,612.20
  5. Step 5: Solve for x
    x = 27,195,612.20/8,086
  6. Step 6: Final answer
    x = 3,363.30

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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.