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Finding the Fourth Proportional to 1,866.11, 2,799.49 and 769.87

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Solution

The fourth proportional to 1,866.11, 2,799.49 and 769.87 is: 1,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.11 : 2,799.49 = 769.87 : x
  2. Step 2: Convert to fraction form
    1,866.11/2,799.49 = 769.87/x
  3. Step 3: Cross multiply
    1,866.11x = 2,799.49 × 769.87
  4. Step 4: Simplify right side
    1,866.11x = 2,155,243.37
  5. Step 5: Solve for x
    x = 2,155,243.37/1,866.11
  6. Step 6: Final answer
    x = 1,154.94

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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.