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Finding the Fourth Proportional to 3,180.16, 4,770.24 and 871.68

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Solution

The fourth proportional to 3,180.16, 4,770.24 and 871.68 is: 1,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.16 : 4,770.24 = 871.68 : x
  2. Step 2: Convert to fraction form
    3,180.16/4,770.24 = 871.68/x
  3. Step 3: Cross multiply
    3,180.16x = 4,770.24 × 871.68
  4. Step 4: Simplify right side
    3,180.16x = 4,158,122.80
  5. Step 5: Solve for x
    x = 4,158,122.80/3,180.16
  6. Step 6: Final answer
    x = 1,307.52

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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.