Home / 2,117.14-3,172.24-729.75

Finding the Fourth Proportional to 2,117.14, 3,172.24 and 729.75

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Solution

The fourth proportional to 2,117.14, 3,172.24 and 729.75 is: 1,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.14 : 3,172.24 = 729.75 : x
  2. Step 2: Convert to fraction form
    2,117.14/3,172.24 = 729.75/x
  3. Step 3: Cross multiply
    2,117.14x = 3,172.24 × 729.75
  4. Step 4: Simplify right side
    2,117.14x = 2,314,942.14
  5. Step 5: Solve for x
    x = 2,314,942.14/2,117.14
  6. Step 6: Final answer
    x = 1,093.43

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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.