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Finding the Fourth Proportional to 2,566.57, 3,856.02 and 1,643.92

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Solution

The fourth proportional to 2,566.57, 3,856.02 and 1,643.92 is: 2,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.57 : 3,856.02 = 1,643.92 : x
  2. Step 2: Convert to fraction form
    2,566.57/3,856.02 = 1,643.92/x
  3. Step 3: Cross multiply
    2,566.57x = 3,856.02 × 1,643.92
  4. Step 4: Simplify right side
    2,566.57x = 6,338,988.40
  5. Step 5: Solve for x
    x = 6,338,988.40/2,566.57
  6. Step 6: Final answer
    x = 2,469.83

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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.