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Finding the Fourth Proportional to 7,199.61, 10,799.10 and 2,272.78

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Solution

The fourth proportional to 7,199.61, 10,799.10 and 2,272.78 is: 3,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.61 : 10,799.10 = 2,272.78 : x
  2. Step 2: Convert to fraction form
    7,199.61/10,799.10 = 2,272.78/x
  3. Step 3: Cross multiply
    7,199.61x = 10,799.10 × 2,272.78
  4. Step 4: Simplify right side
    7,199.61x = 24,543,978.50
  5. Step 5: Solve for x
    x = 24,543,978.50/7,199.61
  6. Step 6: Final answer
    x = 3,409.07

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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.