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Finding the Fourth Proportional to 1,923.98, 2,886.33 and 769.82

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Solution

The fourth proportional to 1,923.98, 2,886.33 and 769.82 is: 1,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.98 : 2,886.33 = 769.82 : x
  2. Step 2: Convert to fraction form
    1,923.98/2,886.33 = 769.82/x
  3. Step 3: Cross multiply
    1,923.98x = 2,886.33 × 769.82
  4. Step 4: Simplify right side
    1,923.98x = 2,221,954.56
  5. Step 5: Solve for x
    x = 2,221,954.56/1,923.98
  6. Step 6: Final answer
    x = 1,154.87

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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.