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Finding the Fourth Proportional to 3,834.45, 5,752.45 and 1,369.21

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Solution

The fourth proportional to 3,834.45, 5,752.45 and 1,369.21 is: 2,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.45 : 5,752.45 = 1,369.21 : x
  2. Step 2: Convert to fraction form
    3,834.45/5,752.45 = 1,369.21/x
  3. Step 3: Cross multiply
    3,834.45x = 5,752.45 × 1,369.21
  4. Step 4: Simplify right side
    3,834.45x = 7,876,312.06
  5. Step 5: Solve for x
    x = 7,876,312.06/3,834.45
  6. Step 6: Final answer
    x = 2,054.09

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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.