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Finding the Fourth Proportional to 2,869.72, 4,294.31 and 2,249.16

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Solution

The fourth proportional to 2,869.72, 4,294.31 and 2,249.16 is: 3,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.72 : 4,294.31 = 2,249.16 : x
  2. Step 2: Convert to fraction form
    2,869.72/4,294.31 = 2,249.16/x
  3. Step 3: Cross multiply
    2,869.72x = 4,294.31 × 2,249.16
  4. Step 4: Simplify right side
    2,869.72x = 9,658,595.90
  5. Step 5: Solve for x
    x = 9,658,595.90/2,869.72
  6. Step 6: Final answer
    x = 3,365.70

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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.