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Finding the Fourth Proportional to 12,166.29, 18,235.94 and 5,585.85

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Solution

The fourth proportional to 12,166.29, 18,235.94 and 5,585.85 is: 8,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.29 : 18,235.94 = 5,585.85 : x
  2. Step 2: Convert to fraction form
    12,166.29/18,235.94 = 5,585.85/x
  3. Step 3: Cross multiply
    12,166.29x = 18,235.94 × 5,585.85
  4. Step 4: Simplify right side
    12,166.29x = 101,863,197.52
  5. Step 5: Solve for x
    x = 101,863,197.52/12,166.29
  6. Step 6: Final answer
    x = 8,372.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.