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Finding the Fourth Proportional to 2,082.64, 3,122.16 and 986.44

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Solution

The fourth proportional to 2,082.64, 3,122.16 and 986.44 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.64 : 3,122.16 = 986.44 : x
  2. Step 2: Convert to fraction form
    2,082.64/3,122.16 = 986.44/x
  3. Step 3: Cross multiply
    2,082.64x = 3,122.16 × 986.44
  4. Step 4: Simplify right side
    2,082.64x = 3,079,823.51
  5. Step 5: Solve for x
    x = 3,079,823.51/2,082.64
  6. Step 6: Final answer
    x = 1,478.81

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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.