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Finding the Fourth Proportional to 2,968.97, 4,097.04 and 1,642.64

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Solution

The fourth proportional to 2,968.97, 4,097.04 and 1,642.64 is: 2,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.97 : 4,097.04 = 1,642.64 : x
  2. Step 2: Convert to fraction form
    2,968.97/4,097.04 = 1,642.64/x
  3. Step 3: Cross multiply
    2,968.97x = 4,097.04 × 1,642.64
  4. Step 4: Simplify right side
    2,968.97x = 6,729,961.79
  5. Step 5: Solve for x
    x = 6,729,961.79/2,968.97
  6. Step 6: Final answer
    x = 2,266.77

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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.