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Finding the Fourth Proportional to 2,800.68, 3,864.70 and 1,621.82

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Solution

The fourth proportional to 2,800.68, 3,864.70 and 1,621.82 is: 2,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.68 : 3,864.70 = 1,621.82 : x
  2. Step 2: Convert to fraction form
    2,800.68/3,864.70 = 1,621.82/x
  3. Step 3: Cross multiply
    2,800.68x = 3,864.70 × 1,621.82
  4. Step 4: Simplify right side
    2,800.68x = 6,267,847.75
  5. Step 5: Solve for x
    x = 6,267,847.75/2,800.68
  6. Step 6: Final answer
    x = 2,237.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.