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Finding the Fourth Proportional to 21,489.88, 32,230.50 and 5,905.48

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Solution

The fourth proportional to 21,489.88, 32,230.50 and 5,905.48 is: 8,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.88 : 32,230.50 = 5,905.48 : x
  2. Step 2: Convert to fraction form
    21,489.88/32,230.50 = 5,905.48/x
  3. Step 3: Cross multiply
    21,489.88x = 32,230.50 × 5,905.48
  4. Step 4: Simplify right side
    21,489.88x = 190,336,573.14
  5. Step 5: Solve for x
    x = 190,336,573.14/21,489.88
  6. Step 6: Final answer
    x = 8,857.03

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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.