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Finding the Fourth Proportional to 1,761.87, 2,648.49 and 1,419.03

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Solution

The fourth proportional to 1,761.87, 2,648.49 and 1,419.03 is: 2,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.87 : 2,648.49 = 1,419.03 : x
  2. Step 2: Convert to fraction form
    1,761.87/2,648.49 = 1,419.03/x
  3. Step 3: Cross multiply
    1,761.87x = 2,648.49 × 1,419.03
  4. Step 4: Simplify right side
    1,761.87x = 3,758,286.76
  5. Step 5: Solve for x
    x = 3,758,286.76/1,761.87
  6. Step 6: Final answer
    x = 2,133.12

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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.