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Finding the Fourth Proportional to 7,775.18, 11,659.25 and 2,227.25

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Solution

The fourth proportional to 7,775.18, 11,659.25 and 2,227.25 is: 3,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.18 : 11,659.25 = 2,227.25 : x
  2. Step 2: Convert to fraction form
    7,775.18/11,659.25 = 2,227.25/x
  3. Step 3: Cross multiply
    7,775.18x = 11,659.25 × 2,227.25
  4. Step 4: Simplify right side
    7,775.18x = 25,968,099.28
  5. Step 5: Solve for x
    x = 25,968,099.28/7,775.18
  6. Step 6: Final answer
    x = 3,339.87

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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.