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Finding the Fourth Proportional to 5,299.50, 7,949.25 and 2,221.50

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Solution

The fourth proportional to 5,299.50, 7,949.25 and 2,221.50 is: 3,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.50 : 7,949.25 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    5,299.50/7,949.25 = 2,221.50/x
  3. Step 3: Cross multiply
    5,299.50x = 7,949.25 × 2,221.50
  4. Step 4: Simplify right side
    5,299.50x = 17,659,258.88
  5. Step 5: Solve for x
    x = 17,659,258.88/5,299.50
  6. Step 6: Final answer
    x = 3,332.25

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1.5x scale

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.