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Finding the Fourth Proportional to 9,934.68, 13,704.15 and 6,202.20

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Solution

The fourth proportional to 9,934.68, 13,704.15 and 6,202.20 is: 8,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.68 : 13,704.15 = 6,202.20 : x
  2. Step 2: Convert to fraction form
    9,934.68/13,704.15 = 6,202.20/x
  3. Step 3: Cross multiply
    9,934.68x = 13,704.15 × 6,202.20
  4. Step 4: Simplify right side
    9,934.68x = 84,995,811.98
  5. Step 5: Solve for x
    x = 84,995,811.98/9,934.68
  6. Step 6: Final answer
    x = 8,555.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.