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Finding the Fourth Proportional to 7,106.78, 10,660.17 and 1,912.52

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Solution

The fourth proportional to 7,106.78, 10,660.17 and 1,912.52 is: 2,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.78 : 10,660.17 = 1,912.52 : x
  2. Step 2: Convert to fraction form
    7,106.78/10,660.17 = 1,912.52/x
  3. Step 3: Cross multiply
    7,106.78x = 10,660.17 × 1,912.52
  4. Step 4: Simplify right side
    7,106.78x = 20,387,788.33
  5. Step 5: Solve for x
    x = 20,387,788.33/7,106.78
  6. Step 6: Final answer
    x = 2,868.78

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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.