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Finding the Fourth Proportional to 4,500.75, 6,751.17 and 1,422.75

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Solution

The fourth proportional to 4,500.75, 6,751.17 and 1,422.75 is: 2,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.75 : 6,751.17 = 1,422.75 : x
  2. Step 2: Convert to fraction form
    4,500.75/6,751.17 = 1,422.75/x
  3. Step 3: Cross multiply
    4,500.75x = 6,751.17 × 1,422.75
  4. Step 4: Simplify right side
    4,500.75x = 9,605,227.12
  5. Step 5: Solve for x
    x = 9,605,227.12/4,500.75
  6. Step 6: Final answer
    x = 2,134.14

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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.