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Finding the Fourth Proportional to 3,436.52, 5,154.80 and 839.45

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Solution

The fourth proportional to 3,436.52, 5,154.80 and 839.45 is: 1,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.52 : 5,154.80 = 839.45 : x
  2. Step 2: Convert to fraction form
    3,436.52/5,154.80 = 839.45/x
  3. Step 3: Cross multiply
    3,436.52x = 5,154.80 × 839.45
  4. Step 4: Simplify right side
    3,436.52x = 4,327,205.55
  5. Step 5: Solve for x
    x = 4,327,205.55/3,436.52
  6. Step 6: Final answer
    x = 1,259.18

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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.