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Finding the Fourth Proportional to 3,536.98, 5,305.52 and 939.90

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Solution

The fourth proportional to 3,536.98, 5,305.52 and 939.90 is: 1,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.98 : 5,305.52 = 939.90 : x
  2. Step 2: Convert to fraction form
    3,536.98/5,305.52 = 939.90/x
  3. Step 3: Cross multiply
    3,536.98x = 5,305.52 × 939.90
  4. Step 4: Simplify right side
    3,536.98x = 4,986,658.25
  5. Step 5: Solve for x
    x = 4,986,658.25/3,536.98
  6. Step 6: Final answer
    x = 1,409.86

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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.