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Finding the Fourth Proportional to 3,760.47, 5,643.21 and 1,679.78

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Solution

The fourth proportional to 3,760.47, 5,643.21 and 1,679.78 is: 2,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.47 : 5,643.21 = 1,679.78 : x
  2. Step 2: Convert to fraction form
    3,760.47/5,643.21 = 1,679.78/x
  3. Step 3: Cross multiply
    3,760.47x = 5,643.21 × 1,679.78
  4. Step 4: Simplify right side
    3,760.47x = 9,479,351.29
  5. Step 5: Solve for x
    x = 9,479,351.29/3,760.47
  6. Step 6: Final answer
    x = 2,520.79

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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.