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Finding the Fourth Proportional to 5,297.96, 7,947.88 and 2,179.68

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Solution

The fourth proportional to 5,297.96, 7,947.88 and 2,179.68 is: 3,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.96 : 7,947.88 = 2,179.68 : x
  2. Step 2: Convert to fraction form
    5,297.96/7,947.88 = 2,179.68/x
  3. Step 3: Cross multiply
    5,297.96x = 7,947.88 × 2,179.68
  4. Step 4: Simplify right side
    5,297.96x = 17,323,835.08
  5. Step 5: Solve for x
    x = 17,323,835.08/5,297.96
  6. Step 6: Final answer
    x = 3,269.91

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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.