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Finding the Fourth Proportional to 13,800.12, 19,033.89 and 8,759.97

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Solution

The fourth proportional to 13,800.12, 19,033.89 and 8,759.97 is: 12,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.12 : 19,033.89 = 8,759.97 : x
  2. Step 2: Convert to fraction form
    13,800.12/19,033.89 = 8,759.97/x
  3. Step 3: Cross multiply
    13,800.12x = 19,033.89 × 8,759.97
  4. Step 4: Simplify right side
    13,800.12x = 166,736,305.38
  5. Step 5: Solve for x
    x = 166,736,305.38/13,800.12
  6. Step 6: Final answer
    x = 12,082.24

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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.