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Finding the Fourth Proportional to 2,248.50, 3,370.40 and 861.42

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Solution

The fourth proportional to 2,248.50, 3,370.40 and 861.42 is: 1,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.50 : 3,370.40 = 861.42 : x
  2. Step 2: Convert to fraction form
    2,248.50/3,370.40 = 861.42/x
  3. Step 3: Cross multiply
    2,248.50x = 3,370.40 × 861.42
  4. Step 4: Simplify right side
    2,248.50x = 2,903,329.97
  5. Step 5: Solve for x
    x = 2,903,329.97/2,248.50
  6. Step 6: Final answer
    x = 1,291.23

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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.