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Finding the Fourth Proportional to 1,949.77, 2,691.33 and 1,552.16

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Solution

The fourth proportional to 1,949.77, 2,691.33 and 1,552.16 is: 2,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.77 : 2,691.33 = 1,552.16 : x
  2. Step 2: Convert to fraction form
    1,949.77/2,691.33 = 1,552.16/x
  3. Step 3: Cross multiply
    1,949.77x = 2,691.33 × 1,552.16
  4. Step 4: Simplify right side
    1,949.77x = 4,177,367.01
  5. Step 5: Solve for x
    x = 4,177,367.01/1,949.77
  6. Step 6: Final answer
    x = 2,142.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.