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Finding the Fourth Proportional to 21,879.62, 32,811.32 and 7,837.46

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Solution

The fourth proportional to 21,879.62, 32,811.32 and 7,837.46 is: 11,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.62 : 32,811.32 = 7,837.46 : x
  2. Step 2: Convert to fraction form
    21,879.62/32,811.32 = 7,837.46/x
  3. Step 3: Cross multiply
    21,879.62x = 32,811.32 × 7,837.46
  4. Step 4: Simplify right side
    21,879.62x = 257,157,408.05
  5. Step 5: Solve for x
    x = 257,157,408.05/21,879.62
  6. Step 6: Final answer
    x = 11,753.28

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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.