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Finding the Fourth Proportional to 5,145.75, 7,728.96 and 3,069.81

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Solution

The fourth proportional to 5,145.75, 7,728.96 and 3,069.81 is: 4,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.75 : 7,728.96 = 3,069.81 : x
  2. Step 2: Convert to fraction form
    5,145.75/7,728.96 = 3,069.81/x
  3. Step 3: Cross multiply
    5,145.75x = 7,728.96 × 3,069.81
  4. Step 4: Simplify right side
    5,145.75x = 23,726,438.70
  5. Step 5: Solve for x
    x = 23,726,438.70/5,145.75
  6. Step 6: Final answer
    x = 4,610.88

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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.