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Finding the Fourth Proportional to 21,885.78, 32,831.10 and 8,034.78

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Solution

The fourth proportional to 21,885.78, 32,831.10 and 8,034.78 is: 12,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.78 : 32,831.10 = 8,034.78 : x
  2. Step 2: Convert to fraction form
    21,885.78/32,831.10 = 8,034.78/x
  3. Step 3: Cross multiply
    21,885.78x = 32,831.10 × 8,034.78
  4. Step 4: Simplify right side
    21,885.78x = 263,790,665.66
  5. Step 5: Solve for x
    x = 263,790,665.66/21,885.78
  6. Step 6: Final answer
    x = 12,053.06

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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.