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Finding the Fourth Proportional to 6,151.20, 9,230.98 and 2,256

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Solution

The fourth proportional to 6,151.20, 9,230.98 and 2,256 is: 3,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.20 : 9,230.98 = 2,256 : x
  2. Step 2: Convert to fraction form
    6,151.20/9,230.98 = 2,256/x
  3. Step 3: Cross multiply
    6,151.20x = 9,230.98 × 2,256
  4. Step 4: Simplify right side
    6,151.20x = 20,825,090.88
  5. Step 5: Solve for x
    x = 20,825,090.88/6,151.20
  6. Step 6: Final answer
    x = 3,385.53

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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.