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Finding the Fourth Proportional to 13,827.84, 19,081.92 and 8,084.88

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Solution

The fourth proportional to 13,827.84, 19,081.92 and 8,084.88 is: 11,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.84 : 19,081.92 = 8,084.88 : x
  2. Step 2: Convert to fraction form
    13,827.84/19,081.92 = 8,084.88/x
  3. Step 3: Cross multiply
    13,827.84x = 19,081.92 × 8,084.88
  4. Step 4: Simplify right side
    13,827.84x = 154,275,033.37
  5. Step 5: Solve for x
    x = 154,275,033.37/13,827.84
  6. Step 6: Final answer
    x = 11,156.84

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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.