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Finding the Fourth Proportional to 3,251.28, 4,878 and 2,159.94

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Solution

The fourth proportional to 3,251.28, 4,878 and 2,159.94 is: 3,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.28 : 4,878 = 2,159.94 : x
  2. Step 2: Convert to fraction form
    3,251.28/4,878 = 2,159.94/x
  3. Step 3: Cross multiply
    3,251.28x = 4,878 × 2,159.94
  4. Step 4: Simplify right side
    3,251.28x = 10,536,187.32
  5. Step 5: Solve for x
    x = 10,536,187.32/3,251.28
  6. Step 6: Final answer
    x = 3,240.63

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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.