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Finding the Fourth Proportional to 2,192.34, 3,288.51 and 548.89

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Solution

The fourth proportional to 2,192.34, 3,288.51 and 548.89 is: 823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.34 : 3,288.51 = 548.89 : x
  2. Step 2: Convert to fraction form
    2,192.34/3,288.51 = 548.89/x
  3. Step 3: Cross multiply
    2,192.34x = 3,288.51 × 548.89
  4. Step 4: Simplify right side
    2,192.34x = 1,805,022.03
  5. Step 5: Solve for x
    x = 1,805,022.03/2,192.34
  6. Step 6: Final answer
    x = 823.33

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1.5x scale

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.