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Finding the Fourth Proportional to 8,832.42, 13,252 and 3,898.52

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Solution

The fourth proportional to 8,832.42, 13,252 and 3,898.52 is: 5,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.42 : 13,252 = 3,898.52 : x
  2. Step 2: Convert to fraction form
    8,832.42/13,252 = 3,898.52/x
  3. Step 3: Cross multiply
    8,832.42x = 13,252 × 3,898.52
  4. Step 4: Simplify right side
    8,832.42x = 51,663,187.04
  5. Step 5: Solve for x
    x = 51,663,187.04/8,832.42
  6. Step 6: Final answer
    x = 5,849.27

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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.