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Finding the Fourth Proportional to 7,197.87, 10,778.45 and 5,739.15

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Solution

The fourth proportional to 7,197.87, 10,778.45 and 5,739.15 is: 8,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.87 : 10,778.45 = 5,739.15 : x
  2. Step 2: Convert to fraction form
    7,197.87/10,778.45 = 5,739.15/x
  3. Step 3: Cross multiply
    7,197.87x = 10,778.45 × 5,739.15
  4. Step 4: Simplify right side
    7,197.87x = 61,859,112.62
  5. Step 5: Solve for x
    x = 61,859,112.62/7,197.87
  6. Step 6: Final answer
    x = 8,594.09

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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.