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Finding the Fourth Proportional to 12,117.84, 18,176.60 and 3,797.92

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Solution

The fourth proportional to 12,117.84, 18,176.60 and 3,797.92 is: 5,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.84 : 18,176.60 = 3,797.92 : x
  2. Step 2: Convert to fraction form
    12,117.84/18,176.60 = 3,797.92/x
  3. Step 3: Cross multiply
    12,117.84x = 18,176.60 × 3,797.92
  4. Step 4: Simplify right side
    12,117.84x = 69,033,304.89
  5. Step 5: Solve for x
    x = 69,033,304.89/12,117.84
  6. Step 6: Final answer
    x = 5,696.83

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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.