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Finding the Fourth Proportional to 2,589, 3,873.78 and 1,610.52

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Solution

The fourth proportional to 2,589, 3,873.78 and 1,610.52 is: 2,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589 : 3,873.78 = 1,610.52 : x
  2. Step 2: Convert to fraction form
    2,589/3,873.78 = 1,610.52/x
  3. Step 3: Cross multiply
    2,589x = 3,873.78 × 1,610.52
  4. Step 4: Simplify right side
    2,589x = 6,238,800.17
  5. Step 5: Solve for x
    x = 6,238,800.17/2,589
  6. Step 6: Final answer
    x = 2,409.73

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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.