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Finding the Fourth Proportional to 13,808.96, 20,713.40 and 3,948.80

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Solution

The fourth proportional to 13,808.96, 20,713.40 and 3,948.80 is: 5,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.96 : 20,713.40 = 3,948.80 : x
  2. Step 2: Convert to fraction form
    13,808.96/20,713.40 = 3,948.80/x
  3. Step 3: Cross multiply
    13,808.96x = 20,713.40 × 3,948.80
  4. Step 4: Simplify right side
    13,808.96x = 81,793,073.92
  5. Step 5: Solve for x
    x = 81,793,073.92/13,808.96
  6. Step 6: Final answer
    x = 5,923.19

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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.