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Finding the Fourth Proportional to 1,906.12, 2,857.56 and 1,135

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Solution

The fourth proportional to 1,906.12, 2,857.56 and 1,135 is: 1,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.12 : 2,857.56 = 1,135 : x
  2. Step 2: Convert to fraction form
    1,906.12/2,857.56 = 1,135/x
  3. Step 3: Cross multiply
    1,906.12x = 2,857.56 × 1,135
  4. Step 4: Simplify right side
    1,906.12x = 3,243,330.60
  5. Step 5: Solve for x
    x = 3,243,330.60/1,906.12
  6. Step 6: Final answer
    x = 1,701.54

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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.