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Finding the Fourth Proportional to 14,736, 20,335.68 and 8,112

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Solution

The fourth proportional to 14,736, 20,335.68 and 8,112 is: 11,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736 : 20,335.68 = 8,112 : x
  2. Step 2: Convert to fraction form
    14,736/20,335.68 = 8,112/x
  3. Step 3: Cross multiply
    14,736x = 20,335.68 × 8,112
  4. Step 4: Simplify right side
    14,736x = 164,963,036.16
  5. Step 5: Solve for x
    x = 164,963,036.16/14,736
  6. Step 6: Final answer
    x = 11,194.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.