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Finding the Fourth Proportional to 2,192.71, 3,288.97 and 549.22

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Solution

The fourth proportional to 2,192.71, 3,288.97 and 549.22 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.71 : 3,288.97 = 549.22 : x
  2. Step 2: Convert to fraction form
    2,192.71/3,288.97 = 549.22/x
  3. Step 3: Cross multiply
    2,192.71x = 3,288.97 × 549.22
  4. Step 4: Simplify right side
    2,192.71x = 1,806,350.29
  5. Step 5: Solve for x
    x = 1,806,350.29/2,192.71
  6. Step 6: Final answer
    x = 823.80

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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.