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Finding the Fourth Proportional to 12,124.84, 16,732.97 and 8,084.70

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Solution

The fourth proportional to 12,124.84, 16,732.97 and 8,084.70 is: 11,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.84 : 16,732.97 = 8,084.70 : x
  2. Step 2: Convert to fraction form
    12,124.84/16,732.97 = 8,084.70/x
  3. Step 3: Cross multiply
    12,124.84x = 16,732.97 × 8,084.70
  4. Step 4: Simplify right side
    12,124.84x = 135,281,042.56
  5. Step 5: Solve for x
    x = 135,281,042.56/12,124.84
  6. Step 6: Final answer
    x = 11,157.35

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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.