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Finding the Fourth Proportional to 5,671, 8,508.66 and 2,208.52

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Solution

The fourth proportional to 5,671, 8,508.66 and 2,208.52 is: 3,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671 : 8,508.66 = 2,208.52 : x
  2. Step 2: Convert to fraction form
    5,671/8,508.66 = 2,208.52/x
  3. Step 3: Cross multiply
    5,671x = 8,508.66 × 2,208.52
  4. Step 4: Simplify right side
    5,671x = 18,791,545.78
  5. Step 5: Solve for x
    x = 18,791,545.78/5,671
  6. Step 6: Final answer
    x = 3,313.62

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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.