Home / 2,087.97-3,128.91-977.73

Finding the Fourth Proportional to 2,087.97, 3,128.91 and 977.73

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Solution

The fourth proportional to 2,087.97, 3,128.91 and 977.73 is: 1,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.97 : 3,128.91 = 977.73 : x
  2. Step 2: Convert to fraction form
    2,087.97/3,128.91 = 977.73/x
  3. Step 3: Cross multiply
    2,087.97x = 3,128.91 × 977.73
  4. Step 4: Simplify right side
    2,087.97x = 3,059,229.17
  5. Step 5: Solve for x
    x = 3,059,229.17/2,087.97
  6. Step 6: Final answer
    x = 1,465.17

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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.