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Finding the Fourth Proportional to 2,800.38, 4,201.38 and 1,156.62

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Solution

The fourth proportional to 2,800.38, 4,201.38 and 1,156.62 is: 1,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.38 : 4,201.38 = 1,156.62 : x
  2. Step 2: Convert to fraction form
    2,800.38/4,201.38 = 1,156.62/x
  3. Step 3: Cross multiply
    2,800.38x = 4,201.38 × 1,156.62
  4. Step 4: Simplify right side
    2,800.38x = 4,859,400.14
  5. Step 5: Solve for x
    x = 4,859,400.14/2,800.38
  6. Step 6: Final answer
    x = 1,735.26

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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.