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Finding the Fourth Proportional to 3,052.92, 4,579.55 and 861.82

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Solution

The fourth proportional to 3,052.92, 4,579.55 and 861.82 is: 1,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.92 : 4,579.55 = 861.82 : x
  2. Step 2: Convert to fraction form
    3,052.92/4,579.55 = 861.82/x
  3. Step 3: Cross multiply
    3,052.92x = 4,579.55 × 861.82
  4. Step 4: Simplify right side
    3,052.92x = 3,946,765.86
  5. Step 5: Solve for x
    x = 3,946,765.86/3,052.92
  6. Step 6: Final answer
    x = 1,292.78

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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.