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Finding the Fourth Proportional to 3,161.76, 4,730.76 and 2,189.76

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Solution

The fourth proportional to 3,161.76, 4,730.76 and 2,189.76 is: 3,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.76 : 4,730.76 = 2,189.76 : x
  2. Step 2: Convert to fraction form
    3,161.76/4,730.76 = 2,189.76/x
  3. Step 3: Cross multiply
    3,161.76x = 4,730.76 × 2,189.76
  4. Step 4: Simplify right side
    3,161.76x = 10,359,229.02
  5. Step 5: Solve for x
    x = 10,359,229.02/3,161.76
  6. Step 6: Final answer
    x = 3,276.41

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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.