Home / 2,129.14-3,193.44-668.17

Finding the Fourth Proportional to 2,129.14, 3,193.44 and 668.17

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Solution

The fourth proportional to 2,129.14, 3,193.44 and 668.17 is: 1,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.14 : 3,193.44 = 668.17 : x
  2. Step 2: Convert to fraction form
    2,129.14/3,193.44 = 668.17/x
  3. Step 3: Cross multiply
    2,129.14x = 3,193.44 × 668.17
  4. Step 4: Simplify right side
    2,129.14x = 2,133,760.80
  5. Step 5: Solve for x
    x = 2,133,760.80/2,129.14
  6. Step 6: Final answer
    x = 1,002.17

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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.