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Finding the Fourth Proportional to 3,854.79, 5,776.50 and 1,769.65

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Solution

The fourth proportional to 3,854.79, 5,776.50 and 1,769.65 is: 2,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.79 : 5,776.50 = 1,769.65 : x
  2. Step 2: Convert to fraction form
    3,854.79/5,776.50 = 1,769.65/x
  3. Step 3: Cross multiply
    3,854.79x = 5,776.50 × 1,769.65
  4. Step 4: Simplify right side
    3,854.79x = 10,222,383.23
  5. Step 5: Solve for x
    x = 10,222,383.23/3,854.79
  6. Step 6: Final answer
    x = 2,651.87

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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.