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Finding the Fourth Proportional to 2,506.92, 3,760.92 and 775.50

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Solution

The fourth proportional to 2,506.92, 3,760.92 and 775.50 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.92 : 3,760.92 = 775.50 : x
  2. Step 2: Convert to fraction form
    2,506.92/3,760.92 = 775.50/x
  3. Step 3: Cross multiply
    2,506.92x = 3,760.92 × 775.50
  4. Step 4: Simplify right side
    2,506.92x = 2,916,593.46
  5. Step 5: Solve for x
    x = 2,916,593.46/2,506.92
  6. Step 6: Final answer
    x = 1,163.42

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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.