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Finding the Fourth Proportional to 3,503.60, 5,255.25 and 871.05

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Solution

The fourth proportional to 3,503.60, 5,255.25 and 871.05 is: 1,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.60 : 5,255.25 = 871.05 : x
  2. Step 2: Convert to fraction form
    3,503.60/5,255.25 = 871.05/x
  3. Step 3: Cross multiply
    3,503.60x = 5,255.25 × 871.05
  4. Step 4: Simplify right side
    3,503.60x = 4,577,592.08
  5. Step 5: Solve for x
    x = 4,577,592.08/3,503.60
  6. Step 6: Final answer
    x = 1,306.54

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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.