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Finding the Fourth Proportional to 3,829, 5,744.98 and 1,490.65

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Solution

The fourth proportional to 3,829, 5,744.98 and 1,490.65 is: 2,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,744.98 = 1,490.65 : x
  2. Step 2: Convert to fraction form
    3,829/5,744.98 = 1,490.65/x
  3. Step 3: Cross multiply
    3,829x = 5,744.98 × 1,490.65
  4. Step 4: Simplify right side
    3,829x = 8,563,754.44
  5. Step 5: Solve for x
    x = 8,563,754.44/3,829
  6. Step 6: Final answer
    x = 2,236.55

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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.