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Finding the Fourth Proportional to 21,879.56, 32,814.54 and 6,293

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Solution

The fourth proportional to 21,879.56, 32,814.54 and 6,293 is: 9,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.56 : 32,814.54 = 6,293 : x
  2. Step 2: Convert to fraction form
    21,879.56/32,814.54 = 6,293/x
  3. Step 3: Cross multiply
    21,879.56x = 32,814.54 × 6,293
  4. Step 4: Simplify right side
    21,879.56x = 206,501,900.22
  5. Step 5: Solve for x
    x = 206,501,900.22/21,879.56
  6. Step 6: Final answer
    x = 9,438.12

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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.