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Finding the Fourth Proportional to 2,249.47, 3,371.93 and 862.45

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Solution

The fourth proportional to 2,249.47, 3,371.93 and 862.45 is: 1,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.47 : 3,371.93 = 862.45 : x
  2. Step 2: Convert to fraction form
    2,249.47/3,371.93 = 862.45/x
  3. Step 3: Cross multiply
    2,249.47x = 3,371.93 × 862.45
  4. Step 4: Simplify right side
    2,249.47x = 2,908,116.72
  5. Step 5: Solve for x
    x = 2,908,116.72/2,249.47
  6. Step 6: Final answer
    x = 1,292.80

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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.