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Finding the Fourth Proportional to 7,229.81, 10,844.81 and 1,965.08

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Solution

The fourth proportional to 7,229.81, 10,844.81 and 1,965.08 is: 2,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.81 : 10,844.81 = 1,965.08 : x
  2. Step 2: Convert to fraction form
    7,229.81/10,844.81 = 1,965.08/x
  3. Step 3: Cross multiply
    7,229.81x = 10,844.81 × 1,965.08
  4. Step 4: Simplify right side
    7,229.81x = 21,310,919.23
  5. Step 5: Solve for x
    x = 21,310,919.23/7,229.81
  6. Step 6: Final answer
    x = 2,947.65

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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.