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Finding the Fourth Proportional to 21,912.30, 32,844.75 and 8,750.20

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Solution

The fourth proportional to 21,912.30, 32,844.75 and 8,750.20 is: 13,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.30 : 32,844.75 = 8,750.20 : x
  2. Step 2: Convert to fraction form
    21,912.30/32,844.75 = 8,750.20/x
  3. Step 3: Cross multiply
    21,912.30x = 32,844.75 × 8,750.20
  4. Step 4: Simplify right side
    21,912.30x = 287,398,131.45
  5. Step 5: Solve for x
    x = 287,398,131.45/21,912.30
  6. Step 6: Final answer
    x = 13,115.84

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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.