Home / 2,968.96-4,097.19-1,642.78

Finding the Fourth Proportional to 2,968.96, 4,097.19 and 1,642.78

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Solution

The fourth proportional to 2,968.96, 4,097.19 and 1,642.78 is: 2,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.96 : 4,097.19 = 1,642.78 : x
  2. Step 2: Convert to fraction form
    2,968.96/4,097.19 = 1,642.78/x
  3. Step 3: Cross multiply
    2,968.96x = 4,097.19 × 1,642.78
  4. Step 4: Simplify right side
    2,968.96x = 6,730,781.79
  5. Step 5: Solve for x
    x = 6,730,781.79/2,968.96
  6. Step 6: Final answer
    x = 2,267.05

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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.