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Finding the Fourth Proportional to 21,910.80, 32,868.06 and 9,431.16

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Solution

The fourth proportional to 21,910.80, 32,868.06 and 9,431.16 is: 14,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.80 : 32,868.06 = 9,431.16 : x
  2. Step 2: Convert to fraction form
    21,910.80/32,868.06 = 9,431.16/x
  3. Step 3: Cross multiply
    21,910.80x = 32,868.06 × 9,431.16
  4. Step 4: Simplify right side
    21,910.80x = 309,983,932.75
  5. Step 5: Solve for x
    x = 309,983,932.75/21,910.80
  6. Step 6: Final answer
    x = 14,147.54

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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.