Home / 2,083.51-3,122.97-986.23

Finding the Fourth Proportional to 2,083.51, 3,122.97 and 986.23

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Solution

The fourth proportional to 2,083.51, 3,122.97 and 986.23 is: 1,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.51 : 3,122.97 = 986.23 : x
  2. Step 2: Convert to fraction form
    2,083.51/3,122.97 = 986.23/x
  3. Step 3: Cross multiply
    2,083.51x = 3,122.97 × 986.23
  4. Step 4: Simplify right side
    2,083.51x = 3,079,966.70
  5. Step 5: Solve for x
    x = 3,079,966.70/2,083.51
  6. Step 6: Final answer
    x = 1,478.26

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1.5x scale

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.