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Finding the Fourth Proportional to 3,304.53, 4,956.79 and 839.35

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Solution

The fourth proportional to 3,304.53, 4,956.79 and 839.35 is: 1,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.53 : 4,956.79 = 839.35 : x
  2. Step 2: Convert to fraction form
    3,304.53/4,956.79 = 839.35/x
  3. Step 3: Cross multiply
    3,304.53x = 4,956.79 × 839.35
  4. Step 4: Simplify right side
    3,304.53x = 4,160,481.69
  5. Step 5: Solve for x
    x = 4,160,481.69/3,304.53
  6. Step 6: Final answer
    x = 1,259.02

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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.