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Finding the Fourth Proportional to 4,150, 5,727.12 and 2,287.12

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Solution

The fourth proportional to 4,150, 5,727.12 and 2,287.12 is: 3,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150 : 5,727.12 = 2,287.12 : x
  2. Step 2: Convert to fraction form
    4,150/5,727.12 = 2,287.12/x
  3. Step 3: Cross multiply
    4,150x = 5,727.12 × 2,287.12
  4. Step 4: Simplify right side
    4,150x = 13,098,610.69
  5. Step 5: Solve for x
    x = 13,098,610.69/4,150
  6. Step 6: Final answer
    x = 3,156.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.