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Finding the Fourth Proportional to 9,850.50, 13,593.72 and 6,314.40

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Solution

The fourth proportional to 9,850.50, 13,593.72 and 6,314.40 is: 8,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 13,593.72 = 6,314.40 : x
  2. Step 2: Convert to fraction form
    9,850.50/13,593.72 = 6,314.40/x
  3. Step 3: Cross multiply
    9,850.50x = 13,593.72 × 6,314.40
  4. Step 4: Simplify right side
    9,850.50x = 85,836,185.57
  5. Step 5: Solve for x
    x = 85,836,185.57/9,850.50
  6. Step 6: Final answer
    x = 8,713.89

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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.