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Finding the Fourth Proportional to 21,791.08, 32,699.38 and 8,641.82

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Solution

The fourth proportional to 21,791.08, 32,699.38 and 8,641.82 is: 12,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791.08 : 32,699.38 = 8,641.82 : x
  2. Step 2: Convert to fraction form
    21,791.08/32,699.38 = 8,641.82/x
  3. Step 3: Cross multiply
    21,791.08x = 32,699.38 × 8,641.82
  4. Step 4: Simplify right side
    21,791.08x = 282,582,156.07
  5. Step 5: Solve for x
    x = 282,582,156.07/21,791.08
  6. Step 6: Final answer
    x = 12,967.79

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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.