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Finding the Fourth Proportional to 7,494.92, 11,242.41 and 1,947.87

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Solution

The fourth proportional to 7,494.92, 11,242.41 and 1,947.87 is: 2,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.92 : 11,242.41 = 1,947.87 : x
  2. Step 2: Convert to fraction form
    7,494.92/11,242.41 = 1,947.87/x
  3. Step 3: Cross multiply
    7,494.92x = 11,242.41 × 1,947.87
  4. Step 4: Simplify right side
    7,494.92x = 21,898,753.17
  5. Step 5: Solve for x
    x = 21,898,753.17/7,494.92
  6. Step 6: Final answer
    x = 2,921.81

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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.