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Finding the Fourth Proportional to 2,716.20, 3,742.98 and 1,928.04

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Solution

The fourth proportional to 2,716.20, 3,742.98 and 1,928.04 is: 2,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.20 : 3,742.98 = 1,928.04 : x
  2. Step 2: Convert to fraction form
    2,716.20/3,742.98 = 1,928.04/x
  3. Step 3: Cross multiply
    2,716.20x = 3,742.98 × 1,928.04
  4. Step 4: Simplify right side
    2,716.20x = 7,216,615.16
  5. Step 5: Solve for x
    x = 7,216,615.16/2,716.20
  6. Step 6: Final answer
    x = 2,656.88

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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.