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Finding the Fourth Proportional to 21,837.01, 32,728.11 and 9,342.34

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Solution

The fourth proportional to 21,837.01, 32,728.11 and 9,342.34 is: 14,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.01 : 32,728.11 = 9,342.34 : x
  2. Step 2: Convert to fraction form
    21,837.01/32,728.11 = 9,342.34/x
  3. Step 3: Cross multiply
    21,837.01x = 32,728.11 × 9,342.34
  4. Step 4: Simplify right side
    21,837.01x = 305,757,131.18
  5. Step 5: Solve for x
    x = 305,757,131.18/21,837.01
  6. Step 6: Final answer
    x = 14,001.79

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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.