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Finding the Fourth Proportional to 2,180.54, 3,270.82 and 641.54

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Solution

The fourth proportional to 2,180.54, 3,270.82 and 641.54 is: 962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.54 : 3,270.82 = 641.54 : x
  2. Step 2: Convert to fraction form
    2,180.54/3,270.82 = 641.54/x
  3. Step 3: Cross multiply
    2,180.54x = 3,270.82 × 641.54
  4. Step 4: Simplify right side
    2,180.54x = 2,098,366.83
  5. Step 5: Solve for x
    x = 2,098,366.83/2,180.54
  6. Step 6: Final answer
    x = 962.31

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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.