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Finding the Fourth Proportional to 7,449, 11,163.78 and 3,069.74

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Solution

The fourth proportional to 7,449, 11,163.78 and 3,069.74 is: 4,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449 : 11,163.78 = 3,069.74 : x
  2. Step 2: Convert to fraction form
    7,449/11,163.78 = 3,069.74/x
  3. Step 3: Cross multiply
    7,449x = 11,163.78 × 3,069.74
  4. Step 4: Simplify right side
    7,449x = 34,269,902.02
  5. Step 5: Solve for x
    x = 34,269,902.02/7,449
  6. Step 6: Final answer
    x = 4,600.60

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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.