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Finding the Fourth Proportional to 13,713.88, 20,572.02 and 3,853.24

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Solution

The fourth proportional to 13,713.88, 20,572.02 and 3,853.24 is: 5,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.88 : 20,572.02 = 3,853.24 : x
  2. Step 2: Convert to fraction form
    13,713.88/20,572.02 = 3,853.24/x
  3. Step 3: Cross multiply
    13,713.88x = 20,572.02 × 3,853.24
  4. Step 4: Simplify right side
    13,713.88x = 79,268,930.34
  5. Step 5: Solve for x
    x = 79,268,930.34/13,713.88
  6. Step 6: Final answer
    x = 5,780.20

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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.