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Finding the Fourth Proportional to 13,126, 19,694.80 and 6,884.52

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Solution

The fourth proportional to 13,126, 19,694.80 and 6,884.52 is: 10,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126 : 19,694.80 = 6,884.52 : x
  2. Step 2: Convert to fraction form
    13,126/19,694.80 = 6,884.52/x
  3. Step 3: Cross multiply
    13,126x = 19,694.80 × 6,884.52
  4. Step 4: Simplify right side
    13,126x = 135,589,244.50
  5. Step 5: Solve for x
    x = 135,589,244.50/13,126
  6. Step 6: Final answer
    x = 10,329.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.