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Finding the Fourth Proportional to 21,951.89, 32,899.12 and 8,813.48

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Solution

The fourth proportional to 21,951.89, 32,899.12 and 8,813.48 is: 13,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.89 : 32,899.12 = 8,813.48 : x
  2. Step 2: Convert to fraction form
    21,951.89/32,899.12 = 8,813.48/x
  3. Step 3: Cross multiply
    21,951.89x = 32,899.12 × 8,813.48
  4. Step 4: Simplify right side
    21,951.89x = 289,955,736.14
  5. Step 5: Solve for x
    x = 289,955,736.14/21,951.89
  6. Step 6: Final answer
    x = 13,208.69

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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.