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Finding the Fourth Proportional to 3,774.72, 5,661.84 and 1,176.96

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Solution

The fourth proportional to 3,774.72, 5,661.84 and 1,176.96 is: 1,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.72 : 5,661.84 = 1,176.96 : x
  2. Step 2: Convert to fraction form
    3,774.72/5,661.84 = 1,176.96/x
  3. Step 3: Cross multiply
    3,774.72x = 5,661.84 × 1,176.96
  4. Step 4: Simplify right side
    3,774.72x = 6,663,759.21
  5. Step 5: Solve for x
    x = 6,663,759.21/3,774.72
  6. Step 6: Final answer
    x = 1,765.37

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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.