Home / 2,077.20-3,116.16-779.04

Finding the Fourth Proportional to 2,077.20, 3,116.16 and 779.04

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Solution

The fourth proportional to 2,077.20, 3,116.16 and 779.04 is: 1,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.20 : 3,116.16 = 779.04 : x
  2. Step 2: Convert to fraction form
    2,077.20/3,116.16 = 779.04/x
  3. Step 3: Cross multiply
    2,077.20x = 3,116.16 × 779.04
  4. Step 4: Simplify right side
    2,077.20x = 2,427,613.29
  5. Step 5: Solve for x
    x = 2,427,613.29/2,077.20
  6. Step 6: Final answer
    x = 1,168.70

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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.