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Finding the Fourth Proportional to 21,632.82, 32,449 and 6,841.74

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Solution

The fourth proportional to 21,632.82, 32,449 and 6,841.74 is: 10,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.82 : 32,449 = 6,841.74 : x
  2. Step 2: Convert to fraction form
    21,632.82/32,449 = 6,841.74/x
  3. Step 3: Cross multiply
    21,632.82x = 32,449 × 6,841.74
  4. Step 4: Simplify right side
    21,632.82x = 222,007,621.26
  5. Step 5: Solve for x
    x = 222,007,621.26/21,632.82
  6. Step 6: Final answer
    x = 10,262.54

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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.