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Finding the Fourth Proportional to 21,901.92, 32,858.64 and 7,863.36

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Solution

The fourth proportional to 21,901.92, 32,858.64 and 7,863.36 is: 11,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.92 : 32,858.64 = 7,863.36 : x
  2. Step 2: Convert to fraction form
    21,901.92/32,858.64 = 7,863.36/x
  3. Step 3: Cross multiply
    21,901.92x = 32,858.64 × 7,863.36
  4. Step 4: Simplify right side
    21,901.92x = 258,379,315.43
  5. Step 5: Solve for x
    x = 258,379,315.43/21,901.92
  6. Step 6: Final answer
    x = 11,797.11

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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.