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Finding the Fourth Proportional to 2,788.66, 4,187.85 and 2,560.78

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Solution

The fourth proportional to 2,788.66, 4,187.85 and 2,560.78 is: 3,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.66 : 4,187.85 = 2,560.78 : x
  2. Step 2: Convert to fraction form
    2,788.66/4,187.85 = 2,560.78/x
  3. Step 3: Cross multiply
    2,788.66x = 4,187.85 × 2,560.78
  4. Step 4: Simplify right side
    2,788.66x = 10,724,162.52
  5. Step 5: Solve for x
    x = 10,724,162.52/2,788.66
  6. Step 6: Final answer
    x = 3,845.63

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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.