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Finding the Fourth Proportional to 2,192.75, 3,289.04 and 549.31

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Solution

The fourth proportional to 2,192.75, 3,289.04 and 549.31 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.75 : 3,289.04 = 549.31 : x
  2. Step 2: Convert to fraction form
    2,192.75/3,289.04 = 549.31/x
  3. Step 3: Cross multiply
    2,192.75x = 3,289.04 × 549.31
  4. Step 4: Simplify right side
    2,192.75x = 1,806,686.12
  5. Step 5: Solve for x
    x = 1,806,686.12/2,192.75
  6. Step 6: Final answer
    x = 823.94

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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.