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Finding the Fourth Proportional to 7,209.14, 9,947.90 and 4,183.79

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Solution

The fourth proportional to 7,209.14, 9,947.90 and 4,183.79 is: 5,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.14 : 9,947.90 = 4,183.79 : x
  2. Step 2: Convert to fraction form
    7,209.14/9,947.90 = 4,183.79/x
  3. Step 3: Cross multiply
    7,209.14x = 9,947.90 × 4,183.79
  4. Step 4: Simplify right side
    7,209.14x = 41,619,885.26
  5. Step 5: Solve for x
    x = 41,619,885.26/7,209.14
  6. Step 6: Final answer
    x = 5,773.21

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1.5x scale

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.