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Finding the Fourth Proportional to 1,859.91, 2,789.70 and 1,129.29

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Solution

The fourth proportional to 1,859.91, 2,789.70 and 1,129.29 is: 1,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.91 : 2,789.70 = 1,129.29 : x
  2. Step 2: Convert to fraction form
    1,859.91/2,789.70 = 1,129.29/x
  3. Step 3: Cross multiply
    1,859.91x = 2,789.70 × 1,129.29
  4. Step 4: Simplify right side
    1,859.91x = 3,150,380.31
  5. Step 5: Solve for x
    x = 3,150,380.31/1,859.91
  6. Step 6: Final answer
    x = 1,693.83

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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.