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Finding the Fourth Proportional to 3,774, 5,207.68 and 2,095.24

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Solution

The fourth proportional to 3,774, 5,207.68 and 2,095.24 is: 2,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 5,207.68 = 2,095.24 : x
  2. Step 2: Convert to fraction form
    3,774/5,207.68 = 2,095.24/x
  3. Step 3: Cross multiply
    3,774x = 5,207.68 × 2,095.24
  4. Step 4: Simplify right side
    3,774x = 10,911,339.44
  5. Step 5: Solve for x
    x = 10,911,339.44/3,774
  6. Step 6: Final answer
    x = 2,891.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.