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Finding the Fourth Proportional to 21,896.68, 32,831.82 and 9,231.32

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Solution

The fourth proportional to 21,896.68, 32,831.82 and 9,231.32 is: 13,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.68 : 32,831.82 = 9,231.32 : x
  2. Step 2: Convert to fraction form
    21,896.68/32,831.82 = 9,231.32/x
  3. Step 3: Cross multiply
    21,896.68x = 32,831.82 × 9,231.32
  4. Step 4: Simplify right side
    21,896.68x = 303,081,036.60
  5. Step 5: Solve for x
    x = 303,081,036.60/21,896.68
  6. Step 6: Final answer
    x = 13,841.42

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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.