Home / 2,001.09-2,997.45-961.95

Finding the Fourth Proportional to 2,001.09, 2,997.45 and 961.95

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Solution

The fourth proportional to 2,001.09, 2,997.45 and 961.95 is: 1,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.09 : 2,997.45 = 961.95 : x
  2. Step 2: Convert to fraction form
    2,001.09/2,997.45 = 961.95/x
  3. Step 3: Cross multiply
    2,001.09x = 2,997.45 × 961.95
  4. Step 4: Simplify right side
    2,001.09x = 2,883,397.03
  5. Step 5: Solve for x
    x = 2,883,397.03/2,001.09
  6. Step 6: Final answer
    x = 1,440.91

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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.