Home / 2,078.14-3,117.30-691.42

Finding the Fourth Proportional to 2,078.14, 3,117.30 and 691.42

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Solution

The fourth proportional to 2,078.14, 3,117.30 and 691.42 is: 1,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.14 : 3,117.30 = 691.42 : x
  2. Step 2: Convert to fraction form
    2,078.14/3,117.30 = 691.42/x
  3. Step 3: Cross multiply
    2,078.14x = 3,117.30 × 691.42
  4. Step 4: Simplify right side
    2,078.14x = 2,155,363.57
  5. Step 5: Solve for x
    x = 2,155,363.57/2,078.14
  6. Step 6: Final answer
    x = 1,037.16

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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.