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Finding the Fourth Proportional to 2,001.53, 2,761.23 and 1,908.89

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Solution

The fourth proportional to 2,001.53, 2,761.23 and 1,908.89 is: 2,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.53 : 2,761.23 = 1,908.89 : x
  2. Step 2: Convert to fraction form
    2,001.53/2,761.23 = 1,908.89/x
  3. Step 3: Cross multiply
    2,001.53x = 2,761.23 × 1,908.89
  4. Step 4: Simplify right side
    2,001.53x = 5,270,884.33
  5. Step 5: Solve for x
    x = 5,270,884.33/2,001.53
  6. Step 6: Final answer
    x = 2,633.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.