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Finding the Fourth Proportional to 3,334.78, 5,002.32 and 869.85

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Solution

The fourth proportional to 3,334.78, 5,002.32 and 869.85 is: 1,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.78 : 5,002.32 = 869.85 : x
  2. Step 2: Convert to fraction form
    3,334.78/5,002.32 = 869.85/x
  3. Step 3: Cross multiply
    3,334.78x = 5,002.32 × 869.85
  4. Step 4: Simplify right side
    3,334.78x = 4,351,268.05
  5. Step 5: Solve for x
    x = 4,351,268.05/3,334.78
  6. Step 6: Final answer
    x = 1,304.81

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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.