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Finding the Fourth Proportional to 5,297.69, 7,948.25 and 3,191.60

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Solution

The fourth proportional to 5,297.69, 7,948.25 and 3,191.60 is: 4,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.69 : 7,948.25 = 3,191.60 : x
  2. Step 2: Convert to fraction form
    5,297.69/7,948.25 = 3,191.60/x
  3. Step 3: Cross multiply
    5,297.69x = 7,948.25 × 3,191.60
  4. Step 4: Simplify right side
    5,297.69x = 25,367,662.55
  5. Step 5: Solve for x
    x = 25,367,662.55/5,297.69
  6. Step 6: Final answer
    x = 4,788.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.