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Finding the Fourth Proportional to 3,052.85, 4,579.43 and 861.74

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Solution

The fourth proportional to 3,052.85, 4,579.43 and 861.74 is: 1,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.85 : 4,579.43 = 861.74 : x
  2. Step 2: Convert to fraction form
    3,052.85/4,579.43 = 861.74/x
  3. Step 3: Cross multiply
    3,052.85x = 4,579.43 × 861.74
  4. Step 4: Simplify right side
    3,052.85x = 3,946,250.80
  5. Step 5: Solve for x
    x = 3,946,250.80/3,052.85
  6. Step 6: Final answer
    x = 1,292.65

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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.