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Finding the Fourth Proportional to 13,713.53, 20,553.75 and 6,307.83

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Solution

The fourth proportional to 13,713.53, 20,553.75 and 6,307.83 is: 9,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.53 : 20,553.75 = 6,307.83 : x
  2. Step 2: Convert to fraction form
    13,713.53/20,553.75 = 6,307.83/x
  3. Step 3: Cross multiply
    13,713.53x = 20,553.75 × 6,307.83
  4. Step 4: Simplify right side
    13,713.53x = 129,649,560.86
  5. Step 5: Solve for x
    x = 129,649,560.86/13,713.53
  6. Step 6: Final answer
    x = 9,454.14

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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.