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Finding the Fourth Proportional to 2,001.76, 3,001.27 and 961.72

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Solution

The fourth proportional to 2,001.76, 3,001.27 and 961.72 is: 1,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.76 : 3,001.27 = 961.72 : x
  2. Step 2: Convert to fraction form
    2,001.76/3,001.27 = 961.72/x
  3. Step 3: Cross multiply
    2,001.76x = 3,001.27 × 961.72
  4. Step 4: Simplify right side
    2,001.76x = 2,886,381.38
  5. Step 5: Solve for x
    x = 2,886,381.38/2,001.76
  6. Step 6: Final answer
    x = 1,441.92

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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.