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Finding the Fourth Proportional to 3,775, 5,663.14 and 1,177.42

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Solution

The fourth proportional to 3,775, 5,663.14 and 1,177.42 is: 1,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775 : 5,663.14 = 1,177.42 : x
  2. Step 2: Convert to fraction form
    3,775/5,663.14 = 1,177.42/x
  3. Step 3: Cross multiply
    3,775x = 5,663.14 × 1,177.42
  4. Step 4: Simplify right side
    3,775x = 6,667,894.30
  5. Step 5: Solve for x
    x = 6,667,894.30/3,775
  6. Step 6: Final answer
    x = 1,766.33

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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.