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Finding the Fourth Proportional to 10,229.50, 15,346.68 and 3,304

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Solution

The fourth proportional to 10,229.50, 15,346.68 and 3,304 is: 4,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.50 : 15,346.68 = 3,304 : x
  2. Step 2: Convert to fraction form
    10,229.50/15,346.68 = 3,304/x
  3. Step 3: Cross multiply
    10,229.50x = 15,346.68 × 3,304
  4. Step 4: Simplify right side
    10,229.50x = 50,705,430.72
  5. Step 5: Solve for x
    x = 50,705,430.72/10,229.50
  6. Step 6: Final answer
    x = 4,956.78

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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.