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Finding the Fourth Proportional to 12,084.36, 16,668.02 and 8,506.78

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Solution

The fourth proportional to 12,084.36, 16,668.02 and 8,506.78 is: 11,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.36 : 16,668.02 = 8,506.78 : x
  2. Step 2: Convert to fraction form
    12,084.36/16,668.02 = 8,506.78/x
  3. Step 3: Cross multiply
    12,084.36x = 16,668.02 × 8,506.78
  4. Step 4: Simplify right side
    12,084.36x = 141,791,179.18
  5. Step 5: Solve for x
    x = 141,791,179.18/12,084.36
  6. Step 6: Final answer
    x = 11,733.45

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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.