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Finding the Fourth Proportional to 2,862.64, 3,952.96 and 2,769.68

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Solution

The fourth proportional to 2,862.64, 3,952.96 and 2,769.68 is: 3,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.64 : 3,952.96 = 2,769.68 : x
  2. Step 2: Convert to fraction form
    2,862.64/3,952.96 = 2,769.68/x
  3. Step 3: Cross multiply
    2,862.64x = 3,952.96 × 2,769.68
  4. Step 4: Simplify right side
    2,862.64x = 10,948,434.25
  5. Step 5: Solve for x
    x = 10,948,434.25/2,862.64
  6. Step 6: Final answer
    x = 3,824.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.