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Finding the Fourth Proportional to 2,128.57, 3,192.81 and 547.27

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Solution

The fourth proportional to 2,128.57, 3,192.81 and 547.27 is: 820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.57 : 3,192.81 = 547.27 : x
  2. Step 2: Convert to fraction form
    2,128.57/3,192.81 = 547.27/x
  3. Step 3: Cross multiply
    2,128.57x = 3,192.81 × 547.27
  4. Step 4: Simplify right side
    2,128.57x = 1,747,329.13
  5. Step 5: Solve for x
    x = 1,747,329.13/2,128.57
  6. Step 6: Final answer
    x = 820.89

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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.