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Finding the Fourth Proportional to 1,961.50, 2,940.38 and 728.58

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Solution

The fourth proportional to 1,961.50, 2,940.38 and 728.58 is: 1,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.50 : 2,940.38 = 728.58 : x
  2. Step 2: Convert to fraction form
    1,961.50/2,940.38 = 728.58/x
  3. Step 3: Cross multiply
    1,961.50x = 2,940.38 × 728.58
  4. Step 4: Simplify right side
    1,961.50x = 2,142,302.06
  5. Step 5: Solve for x
    x = 2,142,302.06/1,961.50
  6. Step 6: Final answer
    x = 1,092.18

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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.