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Finding the Fourth Proportional to 1,769.81, 2,668.05 and 1,650.92

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Solution

The fourth proportional to 1,769.81, 2,668.05 and 1,650.92 is: 2,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.81 : 2,668.05 = 1,650.92 : x
  2. Step 2: Convert to fraction form
    1,769.81/2,668.05 = 1,650.92/x
  3. Step 3: Cross multiply
    1,769.81x = 2,668.05 × 1,650.92
  4. Step 4: Simplify right side
    1,769.81x = 4,404,723.77
  5. Step 5: Solve for x
    x = 4,404,723.77/1,769.81
  6. Step 6: Final answer
    x = 2,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.