Home / 2,077.37-3,116.66-778.94

Finding the Fourth Proportional to 2,077.37, 3,116.66 and 778.94

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Solution

The fourth proportional to 2,077.37, 3,116.66 and 778.94 is: 1,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.37 : 3,116.66 = 778.94 : x
  2. Step 2: Convert to fraction form
    2,077.37/3,116.66 = 778.94/x
  3. Step 3: Cross multiply
    2,077.37x = 3,116.66 × 778.94
  4. Step 4: Simplify right side
    2,077.37x = 2,427,691.14
  5. Step 5: Solve for x
    x = 2,427,691.14/2,077.37
  6. Step 6: Final answer
    x = 1,168.64

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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.