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Finding the Fourth Proportional to 3,436.04, 5,154.02 and 839.00

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Solution

The fourth proportional to 3,436.04, 5,154.02 and 839.00 is: 1,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.04 : 5,154.02 = 839.00 : x
  2. Step 2: Convert to fraction form
    3,436.04/5,154.02 = 839.00/x
  3. Step 3: Cross multiply
    3,436.04x = 5,154.02 × 839.00
  4. Step 4: Simplify right side
    3,436.04x = 4,324,234.62
  5. Step 5: Solve for x
    x = 4,324,234.62/3,436.04
  6. Step 6: Final answer
    x = 1,258.49

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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.