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Finding the Fourth Proportional to 2,500.88, 3,751.36 and 769.50

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Solution

The fourth proportional to 2,500.88, 3,751.36 and 769.50 is: 1,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.88 : 3,751.36 = 769.50 : x
  2. Step 2: Convert to fraction form
    2,500.88/3,751.36 = 769.50/x
  3. Step 3: Cross multiply
    2,500.88x = 3,751.36 × 769.50
  4. Step 4: Simplify right side
    2,500.88x = 2,886,673.92
  5. Step 5: Solve for x
    x = 2,886,673.92/2,500.88
  6. Step 6: Final answer
    x = 1,154.27

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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.