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Finding the Fourth Proportional to 1,961.80, 2,943.33 and 729.31

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Solution

The fourth proportional to 1,961.80, 2,943.33 and 729.31 is: 1,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.80 : 2,943.33 = 729.31 : x
  2. Step 2: Convert to fraction form
    1,961.80/2,943.33 = 729.31/x
  3. Step 3: Cross multiply
    1,961.80x = 2,943.33 × 729.31
  4. Step 4: Simplify right side
    1,961.80x = 2,146,600.00
  5. Step 5: Solve for x
    x = 2,146,600.00/1,961.80
  6. Step 6: Final answer
    x = 1,094.20

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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.