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Finding the Fourth Proportional to 2,729.19, 4,093.83 and 781.40

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Solution

The fourth proportional to 2,729.19, 4,093.83 and 781.40 is: 1,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.19 : 4,093.83 = 781.40 : x
  2. Step 2: Convert to fraction form
    2,729.19/4,093.83 = 781.40/x
  3. Step 3: Cross multiply
    2,729.19x = 4,093.83 × 781.40
  4. Step 4: Simplify right side
    2,729.19x = 3,198,898.29
  5. Step 5: Solve for x
    x = 3,198,898.29/2,729.19
  6. Step 6: Final answer
    x = 1,172.11

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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.