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Finding the Fourth Proportional to 1,965.24, 2,949.30 and 991.42

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Solution

The fourth proportional to 1,965.24, 2,949.30 and 991.42 is: 1,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.24 : 2,949.30 = 991.42 : x
  2. Step 2: Convert to fraction form
    1,965.24/2,949.30 = 991.42/x
  3. Step 3: Cross multiply
    1,965.24x = 2,949.30 × 991.42
  4. Step 4: Simplify right side
    1,965.24x = 2,923,987.63
  5. Step 5: Solve for x
    x = 2,923,987.63/1,965.24
  6. Step 6: Final answer
    x = 1,487.85

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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.