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Finding the Fourth Proportional to 32,902.80, 49,351.14 and 9,212.49

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Solution

The fourth proportional to 32,902.80, 49,351.14 and 9,212.49 is: 13,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.80 : 49,351.14 = 9,212.49 : x
  2. Step 2: Convert to fraction form
    32,902.80/49,351.14 = 9,212.49/x
  3. Step 3: Cross multiply
    32,902.80x = 49,351.14 × 9,212.49
  4. Step 4: Simplify right side
    32,902.80x = 454,646,883.74
  5. Step 5: Solve for x
    x = 454,646,883.74/32,902.80
  6. Step 6: Final answer
    x = 13,817.88

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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.