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Finding the Fourth Proportional to 2,543.64, 3,512.97 and 2,268.78

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Solution

The fourth proportional to 2,543.64, 3,512.97 and 2,268.78 is: 3,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.64 : 3,512.97 = 2,268.78 : x
  2. Step 2: Convert to fraction form
    2,543.64/3,512.97 = 2,268.78/x
  3. Step 3: Cross multiply
    2,543.64x = 3,512.97 × 2,268.78
  4. Step 4: Simplify right side
    2,543.64x = 7,970,156.08
  5. Step 5: Solve for x
    x = 7,970,156.08/2,543.64
  6. Step 6: Final answer
    x = 3,133.37

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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.