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Finding the Fourth Proportional to 3,838, 5,758.35 and 1,891.57

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Solution

The fourth proportional to 3,838, 5,758.35 and 1,891.57 is: 2,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 5,758.35 = 1,891.57 : x
  2. Step 2: Convert to fraction form
    3,838/5,758.35 = 1,891.57/x
  3. Step 3: Cross multiply
    3,838x = 5,758.35 × 1,891.57
  4. Step 4: Simplify right side
    3,838x = 10,892,322.11
  5. Step 5: Solve for x
    x = 10,892,322.11/3,838
  6. Step 6: Final answer
    x = 2,838.02

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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.