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Finding the Fourth Proportional to 13,818.17, 20,727.47 and 7,257.17

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Solution

The fourth proportional to 13,818.17, 20,727.47 and 7,257.17 is: 10,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.17 : 20,727.47 = 7,257.17 : x
  2. Step 2: Convert to fraction form
    13,818.17/20,727.47 = 7,257.17/x
  3. Step 3: Cross multiply
    13,818.17x = 20,727.47 × 7,257.17
  4. Step 4: Simplify right side
    13,818.17x = 150,422,843.42
  5. Step 5: Solve for x
    x = 150,422,843.42/13,818.17
  6. Step 6: Final answer
    x = 10,885.87

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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.