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Finding the Fourth Proportional to 2,968.91, 4,097.17 and 1,642.71

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Solution

The fourth proportional to 2,968.91, 4,097.17 and 1,642.71 is: 2,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.91 : 4,097.17 = 1,642.71 : x
  2. Step 2: Convert to fraction form
    2,968.91/4,097.17 = 1,642.71/x
  3. Step 3: Cross multiply
    2,968.91x = 4,097.17 × 1,642.71
  4. Step 4: Simplify right side
    2,968.91x = 6,730,447.26
  5. Step 5: Solve for x
    x = 6,730,447.26/2,968.91
  6. Step 6: Final answer
    x = 2,266.97

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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.