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Finding the Fourth Proportional to 3,898.78, 5,849.26 and 2,252.32

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Solution

The fourth proportional to 3,898.78, 5,849.26 and 2,252.32 is: 3,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.78 : 5,849.26 = 2,252.32 : x
  2. Step 2: Convert to fraction form
    3,898.78/5,849.26 = 2,252.32/x
  3. Step 3: Cross multiply
    3,898.78x = 5,849.26 × 2,252.32
  4. Step 4: Simplify right side
    3,898.78x = 13,174,385.03
  5. Step 5: Solve for x
    x = 13,174,385.03/3,898.78
  6. Step 6: Final answer
    x = 3,379.11

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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.