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Finding the Fourth Proportional to 3,786, 5,224.32 and 2,107.12

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Solution

The fourth proportional to 3,786, 5,224.32 and 2,107.12 is: 2,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 5,224.32 = 2,107.12 : x
  2. Step 2: Convert to fraction form
    3,786/5,224.32 = 2,107.12/x
  3. Step 3: Cross multiply
    3,786x = 5,224.32 × 2,107.12
  4. Step 4: Simplify right side
    3,786x = 11,008,269.16
  5. Step 5: Solve for x
    x = 11,008,269.16/3,786
  6. Step 6: Final answer
    x = 2,907.63

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1.5x scale

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.