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Finding the Fourth Proportional to 13,806.21, 20,701.01 and 6,206.10

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Solution

The fourth proportional to 13,806.21, 20,701.01 and 6,206.10 is: 9,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.21 : 20,701.01 = 6,206.10 : x
  2. Step 2: Convert to fraction form
    13,806.21/20,701.01 = 6,206.10/x
  3. Step 3: Cross multiply
    13,806.21x = 20,701.01 × 6,206.10
  4. Step 4: Simplify right side
    13,806.21x = 128,472,553.68
  5. Step 5: Solve for x
    x = 128,472,553.68/13,806.21
  6. Step 6: Final answer
    x = 9,305.42

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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.