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Finding the Fourth Proportional to 2,249.02, 3,100.71 and 1,462.78

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Solution

The fourth proportional to 2,249.02, 3,100.71 and 1,462.78 is: 2,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.02 : 3,100.71 = 1,462.78 : x
  2. Step 2: Convert to fraction form
    2,249.02/3,100.71 = 1,462.78/x
  3. Step 3: Cross multiply
    2,249.02x = 3,100.71 × 1,462.78
  4. Step 4: Simplify right side
    2,249.02x = 4,535,656.57
  5. Step 5: Solve for x
    x = 4,535,656.57/2,249.02
  6. Step 6: Final answer
    x = 2,016.73

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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.