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Finding the Fourth Proportional to 3,370.59, 5,057.76 and 1,422.75

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Solution

The fourth proportional to 3,370.59, 5,057.76 and 1,422.75 is: 2,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.59 : 5,057.76 = 1,422.75 : x
  2. Step 2: Convert to fraction form
    3,370.59/5,057.76 = 1,422.75/x
  3. Step 3: Cross multiply
    3,370.59x = 5,057.76 × 1,422.75
  4. Step 4: Simplify right side
    3,370.59x = 7,195,928.04
  5. Step 5: Solve for x
    x = 7,195,928.04/3,370.59
  6. Step 6: Final answer
    x = 2,134.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.