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Finding the Fourth Proportional to 21,921.92, 32,891.52 and 8,072

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Solution

The fourth proportional to 21,921.92, 32,891.52 and 8,072 is: 12,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.92 : 32,891.52 = 8,072 : x
  2. Step 2: Convert to fraction form
    21,921.92/32,891.52 = 8,072/x
  3. Step 3: Cross multiply
    21,921.92x = 32,891.52 × 8,072
  4. Step 4: Simplify right side
    21,921.92x = 265,500,349.44
  5. Step 5: Solve for x
    x = 265,500,349.44/21,921.92
  6. Step 6: Final answer
    x = 12,111.18

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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.