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Finding the Fourth Proportional to 2,788.72, 4,185.10 and 2,247.43

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Solution

The fourth proportional to 2,788.72, 4,185.10 and 2,247.43 is: 3,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.72 : 4,185.10 = 2,247.43 : x
  2. Step 2: Convert to fraction form
    2,788.72/4,185.10 = 2,247.43/x
  3. Step 3: Cross multiply
    2,788.72x = 4,185.10 × 2,247.43
  4. Step 4: Simplify right side
    2,788.72x = 9,405,719.29
  5. Step 5: Solve for x
    x = 9,405,719.29/2,788.72
  6. Step 6: Final answer
    x = 3,372.77

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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.