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Finding the Fourth Proportional to 7,774.79, 11,664.18 and 2,228.54

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Solution

The fourth proportional to 7,774.79, 11,664.18 and 2,228.54 is: 3,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.79 : 11,664.18 = 2,228.54 : x
  2. Step 2: Convert to fraction form
    7,774.79/11,664.18 = 2,228.54/x
  3. Step 3: Cross multiply
    7,774.79x = 11,664.18 × 2,228.54
  4. Step 4: Simplify right side
    7,774.79x = 25,994,033.38
  5. Step 5: Solve for x
    x = 25,994,033.38/7,774.79
  6. Step 6: Final answer
    x = 3,343.38

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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.