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Finding the Fourth Proportional to 10,396.68, 15,591.60 and 5,199

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Solution

The fourth proportional to 10,396.68, 15,591.60 and 5,199 is: 7,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.68 : 15,591.60 = 5,199 : x
  2. Step 2: Convert to fraction form
    10,396.68/15,591.60 = 5,199/x
  3. Step 3: Cross multiply
    10,396.68x = 15,591.60 × 5,199
  4. Step 4: Simplify right side
    10,396.68x = 81,060,728.40
  5. Step 5: Solve for x
    x = 81,060,728.40/10,396.68
  6. Step 6: Final answer
    x = 7,796.79

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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.