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Finding the Fourth Proportional to 2,643.52, 3,644.60 and 2,274.46

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Solution

The fourth proportional to 2,643.52, 3,644.60 and 2,274.46 is: 3,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.52 : 3,644.60 = 2,274.46 : x
  2. Step 2: Convert to fraction form
    2,643.52/3,644.60 = 2,274.46/x
  3. Step 3: Cross multiply
    2,643.52x = 3,644.60 × 2,274.46
  4. Step 4: Simplify right side
    2,643.52x = 8,289,485.54
  5. Step 5: Solve for x
    x = 8,289,485.54/2,643.52
  6. Step 6: Final answer
    x = 3,135.78

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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.