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Finding the Fourth Proportional to 3,894.69, 5,371.02 and 2,566.08

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Solution

The fourth proportional to 3,894.69, 5,371.02 and 2,566.08 is: 3,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.69 : 5,371.02 = 2,566.08 : x
  2. Step 2: Convert to fraction form
    3,894.69/5,371.02 = 2,566.08/x
  3. Step 3: Cross multiply
    3,894.69x = 5,371.02 × 2,566.08
  4. Step 4: Simplify right side
    3,894.69x = 13,782,467.00
  5. Step 5: Solve for x
    x = 13,782,467.00/3,894.69
  6. Step 6: Final answer
    x = 3,538.78

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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.