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Finding the Fourth Proportional to 5,264.94, 7,891.94 and 2,147.12

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Solution

The fourth proportional to 5,264.94, 7,891.94 and 2,147.12 is: 3,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.94 : 7,891.94 = 2,147.12 : x
  2. Step 2: Convert to fraction form
    5,264.94/7,891.94 = 2,147.12/x
  3. Step 3: Cross multiply
    5,264.94x = 7,891.94 × 2,147.12
  4. Step 4: Simplify right side
    5,264.94x = 16,944,942.21
  5. Step 5: Solve for x
    x = 16,944,942.21/5,264.94
  6. Step 6: Final answer
    x = 3,218.45

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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.