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Finding the Fourth Proportional to 7,772.88, 11,664.17 and 3,155.88

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Solution

The fourth proportional to 7,772.88, 11,664.17 and 3,155.88 is: 4,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.88 : 11,664.17 = 3,155.88 : x
  2. Step 2: Convert to fraction form
    7,772.88/11,664.17 = 3,155.88/x
  3. Step 3: Cross multiply
    7,772.88x = 11,664.17 × 3,155.88
  4. Step 4: Simplify right side
    7,772.88x = 36,810,705.04
  5. Step 5: Solve for x
    x = 36,810,705.04/7,772.88
  6. Step 6: Final answer
    x = 4,735.79

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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.