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Finding the Fourth Proportional to 13,806.82, 20,679.07 and 6,395.71

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Solution

The fourth proportional to 13,806.82, 20,679.07 and 6,395.71 is: 9,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.82 : 20,679.07 = 6,395.71 : x
  2. Step 2: Convert to fraction form
    13,806.82/20,679.07 = 6,395.71/x
  3. Step 3: Cross multiply
    13,806.82x = 20,679.07 × 6,395.71
  4. Step 4: Simplify right side
    13,806.82x = 132,257,199.42
  5. Step 5: Solve for x
    x = 132,257,199.42/13,806.82
  6. Step 6: Final answer
    x = 9,579.12

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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.