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Finding the Fourth Proportional to 2,077.97, 3,117.04 and 691.43

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Solution

The fourth proportional to 2,077.97, 3,117.04 and 691.43 is: 1,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.97 : 3,117.04 = 691.43 : x
  2. Step 2: Convert to fraction form
    2,077.97/3,117.04 = 691.43/x
  3. Step 3: Cross multiply
    2,077.97x = 3,117.04 × 691.43
  4. Step 4: Simplify right side
    2,077.97x = 2,155,214.97
  5. Step 5: Solve for x
    x = 2,155,214.97/2,077.97
  6. Step 6: Final answer
    x = 1,037.17

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1.5x scale

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.