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Finding the Fourth Proportional to 13,808.57, 20,716.16 and 4,449.47

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Solution

The fourth proportional to 13,808.57, 20,716.16 and 4,449.47 is: 6,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.57 : 20,716.16 = 4,449.47 : x
  2. Step 2: Convert to fraction form
    13,808.57/20,716.16 = 4,449.47/x
  3. Step 3: Cross multiply
    13,808.57x = 20,716.16 × 4,449.47
  4. Step 4: Simplify right side
    13,808.57x = 92,175,806.61
  5. Step 5: Solve for x
    x = 92,175,806.61/13,808.57
  6. Step 6: Final answer
    x = 6,675.26

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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.