Home / 2,083.13-3,122.07-912.40

Finding the Fourth Proportional to 2,083.13, 3,122.07 and 912.40

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Solution

The fourth proportional to 2,083.13, 3,122.07 and 912.40 is: 1,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.13 : 3,122.07 = 912.40 : x
  2. Step 2: Convert to fraction form
    2,083.13/3,122.07 = 912.40/x
  3. Step 3: Cross multiply
    2,083.13x = 3,122.07 × 912.40
  4. Step 4: Simplify right side
    2,083.13x = 2,848,568.01
  5. Step 5: Solve for x
    x = 2,848,568.01/2,083.13
  6. Step 6: Final answer
    x = 1,367.45

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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.