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Finding the Fourth Proportional to 7,447.87, 10,274.20 and 5,057.97

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Solution

The fourth proportional to 7,447.87, 10,274.20 and 5,057.97 is: 6,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.87 : 10,274.20 = 5,057.97 : x
  2. Step 2: Convert to fraction form
    7,447.87/10,274.20 = 5,057.97/x
  3. Step 3: Cross multiply
    7,447.87x = 10,274.20 × 5,057.97
  4. Step 4: Simplify right side
    7,447.87x = 51,966,595.37
  5. Step 5: Solve for x
    x = 51,966,595.37/7,447.87
  6. Step 6: Final answer
    x = 6,977.38

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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.