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Finding the Fourth Proportional to 2,079.70, 3,119.60 and 618.90

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Solution

The fourth proportional to 2,079.70, 3,119.60 and 618.90 is: 928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.70 : 3,119.60 = 618.90 : x
  2. Step 2: Convert to fraction form
    2,079.70/3,119.60 = 618.90/x
  3. Step 3: Cross multiply
    2,079.70x = 3,119.60 × 618.90
  4. Step 4: Simplify right side
    2,079.70x = 1,930,720.44
  5. Step 5: Solve for x
    x = 1,930,720.44/2,079.70
  6. Step 6: Final answer
    x = 928.36

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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.