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Finding the Fourth Proportional to 13,800, 19,033.72 and 8,759.84

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Solution

The fourth proportional to 13,800, 19,033.72 and 8,759.84 is: 12,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 19,033.72 = 8,759.84 : x
  2. Step 2: Convert to fraction form
    13,800/19,033.72 = 8,759.84/x
  3. Step 3: Cross multiply
    13,800x = 19,033.72 × 8,759.84
  4. Step 4: Simplify right side
    13,800x = 166,732,341.80
  5. Step 5: Solve for x
    x = 166,732,341.80/13,800
  6. Step 6: Final answer
    x = 12,082.05

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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.