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Finding the Fourth Proportional to 7,984.67, 11,978.84 and 2,437.99

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Solution

The fourth proportional to 7,984.67, 11,978.84 and 2,437.99 is: 3,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.67 : 11,978.84 = 2,437.99 : x
  2. Step 2: Convert to fraction form
    7,984.67/11,978.84 = 2,437.99/x
  3. Step 3: Cross multiply
    7,984.67x = 11,978.84 × 2,437.99
  4. Step 4: Simplify right side
    7,984.67x = 29,204,268.28
  5. Step 5: Solve for x
    x = 29,204,268.28/7,984.67
  6. Step 6: Final answer
    x = 3,657.54

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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.