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Finding the Fourth Proportional to 7,978.44, 11,971.98 and 7,687.56

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Solution

The fourth proportional to 7,978.44, 11,971.98 and 7,687.56 is: 11,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.44 : 11,971.98 = 7,687.56 : x
  2. Step 2: Convert to fraction form
    7,978.44/11,971.98 = 7,687.56/x
  3. Step 3: Cross multiply
    7,978.44x = 11,971.98 × 7,687.56
  4. Step 4: Simplify right side
    7,978.44x = 92,035,314.57
  5. Step 5: Solve for x
    x = 92,035,314.57/7,978.44
  6. Step 6: Final answer
    x = 11,535.50

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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.