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Finding the Fourth Proportional to 7,730.76, 11,591.01 and 2,799.75

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Solution

The fourth proportional to 7,730.76, 11,591.01 and 2,799.75 is: 4,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.76 : 11,591.01 = 2,799.75 : x
  2. Step 2: Convert to fraction form
    7,730.76/11,591.01 = 2,799.75/x
  3. Step 3: Cross multiply
    7,730.76x = 11,591.01 × 2,799.75
  4. Step 4: Simplify right side
    7,730.76x = 32,451,930.25
  5. Step 5: Solve for x
    x = 32,451,930.25/7,730.76
  6. Step 6: Final answer
    x = 4,197.77

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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.