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Finding the Fourth Proportional to 2,756.82, 3,805.41 and 1,825.62

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Solution

The fourth proportional to 2,756.82, 3,805.41 and 1,825.62 is: 2,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.82 : 3,805.41 = 1,825.62 : x
  2. Step 2: Convert to fraction form
    2,756.82/3,805.41 = 1,825.62/x
  3. Step 3: Cross multiply
    2,756.82x = 3,805.41 × 1,825.62
  4. Step 4: Simplify right side
    2,756.82x = 6,947,232.60
  5. Step 5: Solve for x
    x = 6,947,232.60/2,756.82
  6. Step 6: Final answer
    x = 2,520.02

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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.