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Finding the Fourth Proportional to 7,978.50, 11,949.93 and 5,782.19

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Solution

The fourth proportional to 7,978.50, 11,949.93 and 5,782.19 is: 8,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.50 : 11,949.93 = 5,782.19 : x
  2. Step 2: Convert to fraction form
    7,978.50/11,949.93 = 5,782.19/x
  3. Step 3: Cross multiply
    7,978.50x = 11,949.93 × 5,782.19
  4. Step 4: Simplify right side
    7,978.50x = 69,096,750.33
  5. Step 5: Solve for x
    x = 69,096,750.33/7,978.50
  6. Step 6: Final answer
    x = 8,660.37

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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.