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Finding the Fourth Proportional to 6,795.50, 10,196.72 and 3,097.25

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Solution

The fourth proportional to 6,795.50, 10,196.72 and 3,097.25 is: 4,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.50 : 10,196.72 = 3,097.25 : x
  2. Step 2: Convert to fraction form
    6,795.50/10,196.72 = 3,097.25/x
  3. Step 3: Cross multiply
    6,795.50x = 10,196.72 × 3,097.25
  4. Step 4: Simplify right side
    6,795.50x = 31,581,747.78
  5. Step 5: Solve for x
    x = 31,581,747.78/6,795.50
  6. Step 6: Final answer
    x = 4,647.45

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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.