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Finding the Fourth Proportional to 13,729.40, 20,593.92 and 3,341.16

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Solution

The fourth proportional to 13,729.40, 20,593.92 and 3,341.16 is: 5,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.40 : 20,593.92 = 3,341.16 : x
  2. Step 2: Convert to fraction form
    13,729.40/20,593.92 = 3,341.16/x
  3. Step 3: Cross multiply
    13,729.40x = 20,593.92 × 3,341.16
  4. Step 4: Simplify right side
    13,729.40x = 68,807,581.75
  5. Step 5: Solve for x
    x = 68,807,581.75/13,729.40
  6. Step 6: Final answer
    x = 5,011.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.