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Finding the Fourth Proportional to 21,921.31, 32,896.53 and 8,070.31

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Solution

The fourth proportional to 21,921.31, 32,896.53 and 8,070.31 is: 12,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.31 : 32,896.53 = 8,070.31 : x
  2. Step 2: Convert to fraction form
    21,921.31/32,896.53 = 8,070.31/x
  3. Step 3: Cross multiply
    21,921.31x = 32,896.53 × 8,070.31
  4. Step 4: Simplify right side
    21,921.31x = 265,485,195.02
  5. Step 5: Solve for x
    x = 265,485,195.02/21,921.31
  6. Step 6: Final answer
    x = 12,110.83

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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.