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Finding the Fourth Proportional to 3,251.68, 4,878 and 942.88

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Solution

The fourth proportional to 3,251.68, 4,878 and 942.88 is: 1,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.68 : 4,878 = 942.88 : x
  2. Step 2: Convert to fraction form
    3,251.68/4,878 = 942.88/x
  3. Step 3: Cross multiply
    3,251.68x = 4,878 × 942.88
  4. Step 4: Simplify right side
    3,251.68x = 4,599,368.64
  5. Step 5: Solve for x
    x = 4,599,368.64/3,251.68
  6. Step 6: Final answer
    x = 1,414.46

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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.