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Finding the Fourth Proportional to 8,074, 12,109.60 and 2,229.04

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Solution

The fourth proportional to 8,074, 12,109.60 and 2,229.04 is: 3,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074 : 12,109.60 = 2,229.04 : x
  2. Step 2: Convert to fraction form
    8,074/12,109.60 = 2,229.04/x
  3. Step 3: Cross multiply
    8,074x = 12,109.60 × 2,229.04
  4. Step 4: Simplify right side
    8,074x = 26,992,782.78
  5. Step 5: Solve for x
    x = 26,992,782.78/8,074
  6. Step 6: Final answer
    x = 3,343.17

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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.