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Finding the Fourth Proportional to 1,906.72, 2,855.05 and 1,534.54

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Solution

The fourth proportional to 1,906.72, 2,855.05 and 1,534.54 is: 2,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.72 : 2,855.05 = 1,534.54 : x
  2. Step 2: Convert to fraction form
    1,906.72/2,855.05 = 1,534.54/x
  3. Step 3: Cross multiply
    1,906.72x = 2,855.05 × 1,534.54
  4. Step 4: Simplify right side
    1,906.72x = 4,381,188.43
  5. Step 5: Solve for x
    x = 4,381,188.43/1,906.72
  6. Step 6: Final answer
    x = 2,297.76

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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.