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Finding the Fourth Proportional to 7,961.60, 11,929.60 and 6,860.80

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Solution

The fourth proportional to 7,961.60, 11,929.60 and 6,860.80 is: 10,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.60 : 11,929.60 = 6,860.80 : x
  2. Step 2: Convert to fraction form
    7,961.60/11,929.60 = 6,860.80/x
  3. Step 3: Cross multiply
    7,961.60x = 11,929.60 × 6,860.80
  4. Step 4: Simplify right side
    7,961.60x = 81,846,599.68
  5. Step 5: Solve for x
    x = 81,846,599.68/7,961.60
  6. Step 6: Final answer
    x = 10,280.17

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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.