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Finding the Fourth Proportional to 2,634.56, 3,950.40 and 991.52

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Solution

The fourth proportional to 2,634.56, 3,950.40 and 991.52 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.56 : 3,950.40 = 991.52 : x
  2. Step 2: Convert to fraction form
    2,634.56/3,950.40 = 991.52/x
  3. Step 3: Cross multiply
    2,634.56x = 3,950.40 × 991.52
  4. Step 4: Simplify right side
    2,634.56x = 3,916,900.61
  5. Step 5: Solve for x
    x = 3,916,900.61/2,634.56
  6. Step 6: Final answer
    x = 1,486.74

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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.