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Finding the Fourth Proportional to 7,102.86, 10,654.89 and 1,908.78

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Solution

The fourth proportional to 7,102.86, 10,654.89 and 1,908.78 is: 2,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.86 : 10,654.89 = 1,908.78 : x
  2. Step 2: Convert to fraction form
    7,102.86/10,654.89 = 1,908.78/x
  3. Step 3: Cross multiply
    7,102.86x = 10,654.89 × 1,908.78
  4. Step 4: Simplify right side
    7,102.86x = 20,337,840.93
  5. Step 5: Solve for x
    x = 20,337,840.93/7,102.86
  6. Step 6: Final answer
    x = 2,863.33

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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.