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Finding the Fourth Proportional to 5,856.88, 8,788.78 and 2,161.70

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Solution

The fourth proportional to 5,856.88, 8,788.78 and 2,161.70 is: 3,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.88 : 8,788.78 = 2,161.70 : x
  2. Step 2: Convert to fraction form
    5,856.88/8,788.78 = 2,161.70/x
  3. Step 3: Cross multiply
    5,856.88x = 8,788.78 × 2,161.70
  4. Step 4: Simplify right side
    5,856.88x = 18,998,705.73
  5. Step 5: Solve for x
    x = 18,998,705.73/5,856.88
  6. Step 6: Final answer
    x = 3,243.83

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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.