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Finding the Fourth Proportional to 3,286.68, 4,928.10 and 2,259.48

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Solution

The fourth proportional to 3,286.68, 4,928.10 and 2,259.48 is: 3,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.68 : 4,928.10 = 2,259.48 : x
  2. Step 2: Convert to fraction form
    3,286.68/4,928.10 = 2,259.48/x
  3. Step 3: Cross multiply
    3,286.68x = 4,928.10 × 2,259.48
  4. Step 4: Simplify right side
    3,286.68x = 11,134,943.39
  5. Step 5: Solve for x
    x = 11,134,943.39/3,286.68
  6. Step 6: Final answer
    x = 3,387.90

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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.