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Finding the Fourth Proportional to 3,829.19, 5,742 and 1,490.27

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Solution

The fourth proportional to 3,829.19, 5,742 and 1,490.27 is: 2,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.19 : 5,742 = 1,490.27 : x
  2. Step 2: Convert to fraction form
    3,829.19/5,742 = 1,490.27/x
  3. Step 3: Cross multiply
    3,829.19x = 5,742 × 1,490.27
  4. Step 4: Simplify right side
    3,829.19x = 8,557,101.63
  5. Step 5: Solve for x
    x = 8,557,101.63/3,829.19
  6. Step 6: Final answer
    x = 2,234.71

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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.