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Finding the Fourth Proportional to 7,096.86, 10,645.92 and 1,902.78

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Solution

The fourth proportional to 7,096.86, 10,645.92 and 1,902.78 is: 2,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.86 : 10,645.92 = 1,902.78 : x
  2. Step 2: Convert to fraction form
    7,096.86/10,645.92 = 1,902.78/x
  3. Step 3: Cross multiply
    7,096.86x = 10,645.92 × 1,902.78
  4. Step 4: Simplify right side
    7,096.86x = 20,256,843.66
  5. Step 5: Solve for x
    x = 20,256,843.66/7,096.86
  6. Step 6: Final answer
    x = 2,854.34

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1.5x scale

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.