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Finding the Fourth Proportional to 3,151.75, 4,724.52 and 1,765.75

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Solution

The fourth proportional to 3,151.75, 4,724.52 and 1,765.75 is: 2,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.75 : 4,724.52 = 1,765.75 : x
  2. Step 2: Convert to fraction form
    3,151.75/4,724.52 = 1,765.75/x
  3. Step 3: Cross multiply
    3,151.75x = 4,724.52 × 1,765.75
  4. Step 4: Simplify right side
    3,151.75x = 8,342,321.19
  5. Step 5: Solve for x
    x = 8,342,321.19/3,151.75
  6. Step 6: Final answer
    x = 2,646.89

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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.