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Finding the Fourth Proportional to 7,230.68, 10,846.76 and 1,965.80

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Solution

The fourth proportional to 7,230.68, 10,846.76 and 1,965.80 is: 2,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.68 : 10,846.76 = 1,965.80 : x
  2. Step 2: Convert to fraction form
    7,230.68/10,846.76 = 1,965.80/x
  3. Step 3: Cross multiply
    7,230.68x = 10,846.76 × 1,965.80
  4. Step 4: Simplify right side
    7,230.68x = 21,322,560.81
  5. Step 5: Solve for x
    x = 21,322,560.81/7,230.68
  6. Step 6: Final answer
    x = 2,948.90

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Similar ratio
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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.