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Finding the Fourth Proportional to 2,634.57, 3,952.12 and 760.51

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Solution

The fourth proportional to 2,634.57, 3,952.12 and 760.51 is: 1,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.57 : 3,952.12 = 760.51 : x
  2. Step 2: Convert to fraction form
    2,634.57/3,952.12 = 760.51/x
  3. Step 3: Cross multiply
    2,634.57x = 3,952.12 × 760.51
  4. Step 4: Simplify right side
    2,634.57x = 3,005,604.64
  5. Step 5: Solve for x
    x = 3,005,604.64/2,634.57
  6. Step 6: Final answer
    x = 1,140.83

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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.