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Finding the Fourth Proportional to 1,924.03, 2,886.17 and 769.75

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Solution

The fourth proportional to 1,924.03, 2,886.17 and 769.75 is: 1,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.03 : 2,886.17 = 769.75 : x
  2. Step 2: Convert to fraction form
    1,924.03/2,886.17 = 769.75/x
  3. Step 3: Cross multiply
    1,924.03x = 2,886.17 × 769.75
  4. Step 4: Simplify right side
    1,924.03x = 2,221,629.36
  5. Step 5: Solve for x
    x = 2,221,629.36/1,924.03
  6. Step 6: Final answer
    x = 1,154.68

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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.