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Finding the Fourth Proportional to 3,774.60, 5,661.90 and 1,177.80

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Solution

The fourth proportional to 3,774.60, 5,661.90 and 1,177.80 is: 1,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.60 : 5,661.90 = 1,177.80 : x
  2. Step 2: Convert to fraction form
    3,774.60/5,661.90 = 1,177.80/x
  3. Step 3: Cross multiply
    3,774.60x = 5,661.90 × 1,177.80
  4. Step 4: Simplify right side
    3,774.60x = 6,668,585.82
  5. Step 5: Solve for x
    x = 6,668,585.82/3,774.60
  6. Step 6: Final answer
    x = 1,766.70

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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.