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Finding the Fourth Proportional to 2,259, 3,367.50 and 2,135.88

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Solution

The fourth proportional to 2,259, 3,367.50 and 2,135.88 is: 3,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259 : 3,367.50 = 2,135.88 : x
  2. Step 2: Convert to fraction form
    2,259/3,367.50 = 2,135.88/x
  3. Step 3: Cross multiply
    2,259x = 3,367.50 × 2,135.88
  4. Step 4: Simplify right side
    2,259x = 7,192,575.90
  5. Step 5: Solve for x
    x = 7,192,575.90/2,259
  6. Step 6: Final answer
    x = 3,183.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.