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Finding the Fourth Proportional to 3,691.50, 5,537.25 and 955.50

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Solution

The fourth proportional to 3,691.50, 5,537.25 and 955.50 is: 1,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.50 : 5,537.25 = 955.50 : x
  2. Step 2: Convert to fraction form
    3,691.50/5,537.25 = 955.50/x
  3. Step 3: Cross multiply
    3,691.50x = 5,537.25 × 955.50
  4. Step 4: Simplify right side
    3,691.50x = 5,290,842.38
  5. Step 5: Solve for x
    x = 5,290,842.38/3,691.50
  6. Step 6: Final answer
    x = 1,433.25

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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.