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Finding the Fourth Proportional to 12,166.95, 18,247.66 and 5,586.81

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Solution

The fourth proportional to 12,166.95, 18,247.66 and 5,586.81 is: 8,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.95 : 18,247.66 = 5,586.81 : x
  2. Step 2: Convert to fraction form
    12,166.95/18,247.66 = 5,586.81/x
  3. Step 3: Cross multiply
    12,166.95x = 18,247.66 × 5,586.81
  4. Step 4: Simplify right side
    12,166.95x = 101,946,209.36
  5. Step 5: Solve for x
    x = 101,946,209.36/12,166.95
  6. Step 6: Final answer
    x = 8,378.95

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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.