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Finding the Fourth Proportional to 13,872.75, 20,834.04 and 12,760.14

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Solution

The fourth proportional to 13,872.75, 20,834.04 and 12,760.14 is: 19,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.75 : 20,834.04 = 12,760.14 : x
  2. Step 2: Convert to fraction form
    13,872.75/20,834.04 = 12,760.14/x
  3. Step 3: Cross multiply
    13,872.75x = 20,834.04 × 12,760.14
  4. Step 4: Simplify right side
    13,872.75x = 265,845,393.14
  5. Step 5: Solve for x
    x = 265,845,393.14/13,872.75
  6. Step 6: Final answer
    x = 19,163.14

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1.5x scale

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.