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Finding the Fourth Proportional to 3,617.60, 5,425.84 and 1,427.84

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Solution

The fourth proportional to 3,617.60, 5,425.84 and 1,427.84 is: 2,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.60 : 5,425.84 = 1,427.84 : x
  2. Step 2: Convert to fraction form
    3,617.60/5,425.84 = 1,427.84/x
  3. Step 3: Cross multiply
    3,617.60x = 5,425.84 × 1,427.84
  4. Step 4: Simplify right side
    3,617.60x = 7,747,231.39
  5. Step 5: Solve for x
    x = 7,747,231.39/3,617.60
  6. Step 6: Final answer
    x = 2,141.54

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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.