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Finding the Fourth Proportional to 5,671.72, 8,508.06 and 2,209

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Solution

The fourth proportional to 5,671.72, 8,508.06 and 2,209 is: 3,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.72 : 8,508.06 = 2,209 : x
  2. Step 2: Convert to fraction form
    5,671.72/8,508.06 = 2,209/x
  3. Step 3: Cross multiply
    5,671.72x = 8,508.06 × 2,209
  4. Step 4: Simplify right side
    5,671.72x = 18,794,304.54
  5. Step 5: Solve for x
    x = 18,794,304.54/5,671.72
  6. Step 6: Final answer
    x = 3,313.69

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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.