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Finding the Fourth Proportional to 8,732.11, 12,056.34 and 8,174.42

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Solution

The fourth proportional to 8,732.11, 12,056.34 and 8,174.42 is: 11,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.11 : 12,056.34 = 8,174.42 : x
  2. Step 2: Convert to fraction form
    8,732.11/12,056.34 = 8,174.42/x
  3. Step 3: Cross multiply
    8,732.11x = 12,056.34 × 8,174.42
  4. Step 4: Simplify right side
    8,732.11x = 98,553,586.82
  5. Step 5: Solve for x
    x = 98,553,586.82/8,732.11
  6. Step 6: Final answer
    x = 11,286.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.