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Finding the Fourth Proportional to 2,500.76, 3,751.64 and 769.64

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Solution

The fourth proportional to 2,500.76, 3,751.64 and 769.64 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.76 : 3,751.64 = 769.64 : x
  2. Step 2: Convert to fraction form
    2,500.76/3,751.64 = 769.64/x
  3. Step 3: Cross multiply
    2,500.76x = 3,751.64 × 769.64
  4. Step 4: Simplify right side
    2,500.76x = 2,887,412.21
  5. Step 5: Solve for x
    x = 2,887,412.21/2,500.76
  6. Step 6: Final answer
    x = 1,154.61

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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.