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Finding the Fourth Proportional to 13,808.54, 20,716.90 and 6,417.43

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Solution

The fourth proportional to 13,808.54, 20,716.90 and 6,417.43 is: 9,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.54 : 20,716.90 = 6,417.43 : x
  2. Step 2: Convert to fraction form
    13,808.54/20,716.90 = 6,417.43/x
  3. Step 3: Cross multiply
    13,808.54x = 20,716.90 × 6,417.43
  4. Step 4: Simplify right side
    13,808.54x = 132,949,187.73
  5. Step 5: Solve for x
    x = 132,949,187.73/13,808.54
  6. Step 6: Final answer
    x = 9,628.04

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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.