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Finding the Fourth Proportional to 21,887.64, 32,835.80 and 7,843.90

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Solution

The fourth proportional to 21,887.64, 32,835.80 and 7,843.90 is: 11,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.64 : 32,835.80 = 7,843.90 : x
  2. Step 2: Convert to fraction form
    21,887.64/32,835.80 = 7,843.90/x
  3. Step 3: Cross multiply
    21,887.64x = 32,835.80 × 7,843.90
  4. Step 4: Simplify right side
    21,887.64x = 257,560,731.62
  5. Step 5: Solve for x
    x = 257,560,731.62/21,887.64
  6. Step 6: Final answer
    x = 11,767.41

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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.