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Finding the Fourth Proportional to 3,436.79, 5,155.14 and 839.75

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Solution

The fourth proportional to 3,436.79, 5,155.14 and 839.75 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.79 : 5,155.14 = 839.75 : x
  2. Step 2: Convert to fraction form
    3,436.79/5,155.14 = 839.75/x
  3. Step 3: Cross multiply
    3,436.79x = 5,155.14 × 839.75
  4. Step 4: Simplify right side
    3,436.79x = 4,329,044.85
  5. Step 5: Solve for x
    x = 4,329,044.85/3,436.79
  6. Step 6: Final answer
    x = 1,259.62

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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.