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Finding the Fourth Proportional to 8,151.16, 12,225 and 2,306.20

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Solution

The fourth proportional to 8,151.16, 12,225 and 2,306.20 is: 3,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.16 : 12,225 = 2,306.20 : x
  2. Step 2: Convert to fraction form
    8,151.16/12,225 = 2,306.20/x
  3. Step 3: Cross multiply
    8,151.16x = 12,225 × 2,306.20
  4. Step 4: Simplify right side
    8,151.16x = 28,193,295.00
  5. Step 5: Solve for x
    x = 28,193,295.00/8,151.16
  6. Step 6: Final answer
    x = 3,458.81

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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.