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Finding the Fourth Proportional to 13,806.74, 20,710.16 and 5,486.22

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Solution

The fourth proportional to 13,806.74, 20,710.16 and 5,486.22 is: 8,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.74 : 20,710.16 = 5,486.22 : x
  2. Step 2: Convert to fraction form
    13,806.74/20,710.16 = 5,486.22/x
  3. Step 3: Cross multiply
    13,806.74x = 20,710.16 × 5,486.22
  4. Step 4: Simplify right side
    13,806.74x = 113,620,494.00
  5. Step 5: Solve for x
    x = 113,620,494.00/13,806.74
  6. Step 6: Final answer
    x = 8,229.35

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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.