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Finding the Fourth Proportional to 4,456.64, 6,147.78 and 2,882

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Solution

The fourth proportional to 4,456.64, 6,147.78 and 2,882 is: 3,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.64 : 6,147.78 = 2,882 : x
  2. Step 2: Convert to fraction form
    4,456.64/6,147.78 = 2,882/x
  3. Step 3: Cross multiply
    4,456.64x = 6,147.78 × 2,882
  4. Step 4: Simplify right side
    4,456.64x = 17,717,901.96
  5. Step 5: Solve for x
    x = 17,717,901.96/4,456.64
  6. Step 6: Final answer
    x = 3,975.62

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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.