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Finding the Fourth Proportional to 5,006.64, 6,909 and 2,768.16

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Solution

The fourth proportional to 5,006.64, 6,909 and 2,768.16 is: 3,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.64 : 6,909 = 2,768.16 : x
  2. Step 2: Convert to fraction form
    5,006.64/6,909 = 2,768.16/x
  3. Step 3: Cross multiply
    5,006.64x = 6,909 × 2,768.16
  4. Step 4: Simplify right side
    5,006.64x = 19,125,217.44
  5. Step 5: Solve for x
    x = 19,125,217.44/5,006.64
  6. Step 6: Final answer
    x = 3,819.97

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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.