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Finding the Fourth Proportional to 3,773.82, 5,660.64 and 1,176.78

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Solution

The fourth proportional to 3,773.82, 5,660.64 and 1,176.78 is: 1,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.82 : 5,660.64 = 1,176.78 : x
  2. Step 2: Convert to fraction form
    3,773.82/5,660.64 = 1,176.78/x
  3. Step 3: Cross multiply
    3,773.82x = 5,660.64 × 1,176.78
  4. Step 4: Simplify right side
    3,773.82x = 6,661,327.94
  5. Step 5: Solve for x
    x = 6,661,327.94/3,773.82
  6. Step 6: Final answer
    x = 1,765.14

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1.5x scale

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.