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Finding the Fourth Proportional to 21,793.24, 32,686.62 and 7,939

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Solution

The fourth proportional to 21,793.24, 32,686.62 and 7,939 is: 11,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793.24 : 32,686.62 = 7,939 : x
  2. Step 2: Convert to fraction form
    21,793.24/32,686.62 = 7,939/x
  3. Step 3: Cross multiply
    21,793.24x = 32,686.62 × 7,939
  4. Step 4: Simplify right side
    21,793.24x = 259,499,076.18
  5. Step 5: Solve for x
    x = 259,499,076.18/21,793.24
  6. Step 6: Final answer
    x = 11,907.32

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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.