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Finding the Fourth Proportional to 3,614.80, 5,422.20 and 1,422.33

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Solution

The fourth proportional to 3,614.80, 5,422.20 and 1,422.33 is: 2,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.80 : 5,422.20 = 1,422.33 : x
  2. Step 2: Convert to fraction form
    3,614.80/5,422.20 = 1,422.33/x
  3. Step 3: Cross multiply
    3,614.80x = 5,422.20 × 1,422.33
  4. Step 4: Simplify right side
    3,614.80x = 7,712,157.73
  5. Step 5: Solve for x
    x = 7,712,157.73/3,614.80
  6. Step 6: Final answer
    x = 2,133.50

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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.