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Finding the Fourth Proportional to 7,351, 10,144.30 and 3,993.82

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Solution

The fourth proportional to 7,351, 10,144.30 and 3,993.82 is: 5,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351 : 10,144.30 = 3,993.82 : x
  2. Step 2: Convert to fraction form
    7,351/10,144.30 = 3,993.82/x
  3. Step 3: Cross multiply
    7,351x = 10,144.30 × 3,993.82
  4. Step 4: Simplify right side
    7,351x = 40,514,508.23
  5. Step 5: Solve for x
    x = 40,514,508.23/7,351
  6. Step 6: Final answer
    x = 5,511.43

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1.5x scale

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.