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Finding the Fourth Proportional to 33,874.40, 50,714.40 and 32,902.40

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Solution

The fourth proportional to 33,874.40, 50,714.40 and 32,902.40 is: 49,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874.40 : 50,714.40 = 32,902.40 : x
  2. Step 2: Convert to fraction form
    33,874.40/50,714.40 = 32,902.40/x
  3. Step 3: Cross multiply
    33,874.40x = 50,714.40 × 32,902.40
  4. Step 4: Simplify right side
    33,874.40x = 1,668,625,474.56
  5. Step 5: Solve for x
    x = 1,668,625,474.56/33,874.40
  6. Step 6: Final answer
    x = 49,259.19

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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.