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Finding the Fourth Proportional to 1,337, 1,844.42 and 839.39

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Solution

The fourth proportional to 1,337, 1,844.42 and 839.39 is: 1,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337 : 1,844.42 = 839.39 : x
  2. Step 2: Convert to fraction form
    1,337/1,844.42 = 839.39/x
  3. Step 3: Cross multiply
    1,337x = 1,844.42 × 839.39
  4. Step 4: Simplify right side
    1,337x = 1,548,187.70
  5. Step 5: Solve for x
    x = 1,548,187.70/1,337
  6. Step 6: Final answer
    x = 1,157.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.