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Finding the Fourth Proportional to 13,808.88, 20,723.04 and 7,231.68

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Solution

The fourth proportional to 13,808.88, 20,723.04 and 7,231.68 is: 10,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.88 : 20,723.04 = 7,231.68 : x
  2. Step 2: Convert to fraction form
    13,808.88/20,723.04 = 7,231.68/x
  3. Step 3: Cross multiply
    13,808.88x = 20,723.04 × 7,231.68
  4. Step 4: Simplify right side
    13,808.88x = 149,862,393.91
  5. Step 5: Solve for x
    x = 149,862,393.91/13,808.88
  6. Step 6: Final answer
    x = 10,852.61

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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.