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Finding the Fourth Proportional to 5,389.92, 8,082.16 and 2,100.48

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Solution

The fourth proportional to 5,389.92, 8,082.16 and 2,100.48 is: 3,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.92 : 8,082.16 = 2,100.48 : x
  2. Step 2: Convert to fraction form
    5,389.92/8,082.16 = 2,100.48/x
  3. Step 3: Cross multiply
    5,389.92x = 8,082.16 × 2,100.48
  4. Step 4: Simplify right side
    5,389.92x = 16,976,415.44
  5. Step 5: Solve for x
    x = 16,976,415.44/5,389.92
  6. Step 6: Final answer
    x = 3,149.66

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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.