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Finding the Fourth Proportional to 7,197.90, 10,799.83 and 3,447.78

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Solution

The fourth proportional to 7,197.90, 10,799.83 and 3,447.78 is: 5,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.90 : 10,799.83 = 3,447.78 : x
  2. Step 2: Convert to fraction form
    7,197.90/10,799.83 = 3,447.78/x
  3. Step 3: Cross multiply
    7,197.90x = 10,799.83 × 3,447.78
  4. Step 4: Simplify right side
    7,197.90x = 37,235,437.88
  5. Step 5: Solve for x
    x = 37,235,437.88/7,197.90
  6. Step 6: Final answer
    x = 5,173.10

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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.