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Finding the Fourth Proportional to 21,872.52, 32,828.22 and 8,750.52

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Solution

The fourth proportional to 21,872.52, 32,828.22 and 8,750.52 is: 13,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.52 : 32,828.22 = 8,750.52 : x
  2. Step 2: Convert to fraction form
    21,872.52/32,828.22 = 8,750.52/x
  3. Step 3: Cross multiply
    21,872.52x = 32,828.22 × 8,750.52
  4. Step 4: Simplify right side
    21,872.52x = 287,263,995.67
  5. Step 5: Solve for x
    x = 287,263,995.67/21,872.52
  6. Step 6: Final answer
    x = 13,133.56

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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.