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Finding the Fourth Proportional to 2,634.66, 3,952.53 and 991.71

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Solution

The fourth proportional to 2,634.66, 3,952.53 and 991.71 is: 1,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.66 : 3,952.53 = 991.71 : x
  2. Step 2: Convert to fraction form
    2,634.66/3,952.53 = 991.71/x
  3. Step 3: Cross multiply
    2,634.66x = 3,952.53 × 991.71
  4. Step 4: Simplify right side
    2,634.66x = 3,919,763.53
  5. Step 5: Solve for x
    x = 3,919,763.53/2,634.66
  6. Step 6: Final answer
    x = 1,487.77

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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.