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Finding the Fourth Proportional to 3,891.63, 5,371.43 and 2,400.78

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Solution

The fourth proportional to 3,891.63, 5,371.43 and 2,400.78 is: 3,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.63 : 5,371.43 = 2,400.78 : x
  2. Step 2: Convert to fraction form
    3,891.63/5,371.43 = 2,400.78/x
  3. Step 3: Cross multiply
    3,891.63x = 5,371.43 × 2,400.78
  4. Step 4: Simplify right side
    3,891.63x = 12,895,621.72
  5. Step 5: Solve for x
    x = 12,895,621.72/3,891.63
  6. Step 6: Final answer
    x = 3,313.68

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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.