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Finding the Fourth Proportional to 2,530, 3,793.68 and 1,142.14

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Solution

The fourth proportional to 2,530, 3,793.68 and 1,142.14 is: 1,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530 : 3,793.68 = 1,142.14 : x
  2. Step 2: Convert to fraction form
    2,530/3,793.68 = 1,142.14/x
  3. Step 3: Cross multiply
    2,530x = 3,793.68 × 1,142.14
  4. Step 4: Simplify right side
    2,530x = 4,332,913.68
  5. Step 5: Solve for x
    x = 4,332,913.68/2,530
  6. Step 6: Final answer
    x = 1,712.61

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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.