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Finding the Fourth Proportional to 3,180.56, 4,770.98 and 872.06

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Solution

The fourth proportional to 3,180.56, 4,770.98 and 872.06 is: 1,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.56 : 4,770.98 = 872.06 : x
  2. Step 2: Convert to fraction form
    3,180.56/4,770.98 = 872.06/x
  3. Step 3: Cross multiply
    3,180.56x = 4,770.98 × 872.06
  4. Step 4: Simplify right side
    3,180.56x = 4,160,594.93
  5. Step 5: Solve for x
    x = 4,160,594.93/3,180.56
  6. Step 6: Final answer
    x = 1,308.13

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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.