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Finding the Fourth Proportional to 7,274.40, 10,910.28 and 2,079

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Solution

The fourth proportional to 7,274.40, 10,910.28 and 2,079 is: 3,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.40 : 10,910.28 = 2,079 : x
  2. Step 2: Convert to fraction form
    7,274.40/10,910.28 = 2,079/x
  3. Step 3: Cross multiply
    7,274.40x = 10,910.28 × 2,079
  4. Step 4: Simplify right side
    7,274.40x = 22,682,472.12
  5. Step 5: Solve for x
    x = 22,682,472.12/7,274.40
  6. Step 6: Final answer
    x = 3,118.12

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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.