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Finding the Fourth Proportional to 3,161.16, 4,742.01 and 1,080.54

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Solution

The fourth proportional to 3,161.16, 4,742.01 and 1,080.54 is: 1,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.16 : 4,742.01 = 1,080.54 : x
  2. Step 2: Convert to fraction form
    3,161.16/4,742.01 = 1,080.54/x
  3. Step 3: Cross multiply
    3,161.16x = 4,742.01 × 1,080.54
  4. Step 4: Simplify right side
    3,161.16x = 5,123,931.49
  5. Step 5: Solve for x
    x = 5,123,931.49/3,161.16
  6. Step 6: Final answer
    x = 1,620.90

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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.