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Finding the Fourth Proportional to 2,506.59, 3,760.76 and 775.21

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Solution

The fourth proportional to 2,506.59, 3,760.76 and 775.21 is: 1,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.59 : 3,760.76 = 775.21 : x
  2. Step 2: Convert to fraction form
    2,506.59/3,760.76 = 775.21/x
  3. Step 3: Cross multiply
    2,506.59x = 3,760.76 × 775.21
  4. Step 4: Simplify right side
    2,506.59x = 2,915,378.76
  5. Step 5: Solve for x
    x = 2,915,378.76/2,506.59
  6. Step 6: Final answer
    x = 1,163.09

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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.