Home / 2,083.62-3,123.90-986.70

Finding the Fourth Proportional to 2,083.62, 3,123.90 and 986.70

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Solution

The fourth proportional to 2,083.62, 3,123.90 and 986.70 is: 1,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.62 : 3,123.90 = 986.70 : x
  2. Step 2: Convert to fraction form
    2,083.62/3,123.90 = 986.70/x
  3. Step 3: Cross multiply
    2,083.62x = 3,123.90 × 986.70
  4. Step 4: Simplify right side
    2,083.62x = 3,082,352.13
  5. Step 5: Solve for x
    x = 3,082,352.13/2,083.62
  6. Step 6: Final answer
    x = 1,479.33

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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.