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Finding the Fourth Proportional to 2,544.82, 3,512.16 and 1,425.80

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Solution

The fourth proportional to 2,544.82, 3,512.16 and 1,425.80 is: 1,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.82 : 3,512.16 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    2,544.82/3,512.16 = 1,425.80/x
  3. Step 3: Cross multiply
    2,544.82x = 3,512.16 × 1,425.80
  4. Step 4: Simplify right side
    2,544.82x = 5,007,646.51
  5. Step 5: Solve for x
    x = 5,007,646.51/2,544.82
  6. Step 6: Final answer
    x = 1,967.78

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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.