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Finding the Fourth Proportional to 21,889.72, 32,815.10 and 8,035.48

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Solution

The fourth proportional to 21,889.72, 32,815.10 and 8,035.48 is: 12,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.72 : 32,815.10 = 8,035.48 : x
  2. Step 2: Convert to fraction form
    21,889.72/32,815.10 = 8,035.48/x
  3. Step 3: Cross multiply
    21,889.72x = 32,815.10 × 8,035.48
  4. Step 4: Simplify right side
    21,889.72x = 263,685,079.75
  5. Step 5: Solve for x
    x = 263,685,079.75/21,889.72
  6. Step 6: Final answer
    x = 12,046.07

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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.