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Finding the Fourth Proportional to 2,643.41, 3,962.13 and 1,254.82

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Solution

The fourth proportional to 2,643.41, 3,962.13 and 1,254.82 is: 1,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.41 : 3,962.13 = 1,254.82 : x
  2. Step 2: Convert to fraction form
    2,643.41/3,962.13 = 1,254.82/x
  3. Step 3: Cross multiply
    2,643.41x = 3,962.13 × 1,254.82
  4. Step 4: Simplify right side
    2,643.41x = 4,971,759.97
  5. Step 5: Solve for x
    x = 4,971,759.97/2,643.41
  6. Step 6: Final answer
    x = 1,880.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.