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Finding the Fourth Proportional to 13,808.96, 20,709.94 and 3,948.28

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Solution

The fourth proportional to 13,808.96, 20,709.94 and 3,948.28 is: 5,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.96 : 20,709.94 = 3,948.28 : x
  2. Step 2: Convert to fraction form
    13,808.96/20,709.94 = 3,948.28/x
  3. Step 3: Cross multiply
    13,808.96x = 20,709.94 × 3,948.28
  4. Step 4: Simplify right side
    13,808.96x = 81,768,641.90
  5. Step 5: Solve for x
    x = 81,768,641.90/13,808.96
  6. Step 6: Final answer
    x = 5,921.42

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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.