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Finding the Fourth Proportional to 2,832.78, 4,252 and 2,318.88

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Solution

The fourth proportional to 2,832.78, 4,252 and 2,318.88 is: 3,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.78 : 4,252 = 2,318.88 : x
  2. Step 2: Convert to fraction form
    2,832.78/4,252 = 2,318.88/x
  3. Step 3: Cross multiply
    2,832.78x = 4,252 × 2,318.88
  4. Step 4: Simplify right side
    2,832.78x = 9,859,877.76
  5. Step 5: Solve for x
    x = 9,859,877.76/2,832.78
  6. Step 6: Final answer
    x = 3,480.64

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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.