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Finding the Fourth Proportional to 2,589.78, 3,883.17 and 1,769.05

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Solution

The fourth proportional to 2,589.78, 3,883.17 and 1,769.05 is: 2,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.78 : 3,883.17 = 1,769.05 : x
  2. Step 2: Convert to fraction form
    2,589.78/3,883.17 = 1,769.05/x
  3. Step 3: Cross multiply
    2,589.78x = 3,883.17 × 1,769.05
  4. Step 4: Simplify right side
    2,589.78x = 6,869,502.47
  5. Step 5: Solve for x
    x = 6,869,502.47/2,589.78
  6. Step 6: Final answer
    x = 2,652.54

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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.