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Finding the Fourth Proportional to 1,923.78, 2,886.75 and 769.62

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Solution

The fourth proportional to 1,923.78, 2,886.75 and 769.62 is: 1,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.78 : 2,886.75 = 769.62 : x
  2. Step 2: Convert to fraction form
    1,923.78/2,886.75 = 769.62/x
  3. Step 3: Cross multiply
    1,923.78x = 2,886.75 × 769.62
  4. Step 4: Simplify right side
    1,923.78x = 2,221,700.54
  5. Step 5: Solve for x
    x = 2,221,700.54/1,923.78
  6. Step 6: Final answer
    x = 1,154.86

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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.