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Finding the Fourth Proportional to 2,874.33, 3,967.29 and 1,695.78

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Solution

The fourth proportional to 2,874.33, 3,967.29 and 1,695.78 is: 2,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.33 : 3,967.29 = 1,695.78 : x
  2. Step 2: Convert to fraction form
    2,874.33/3,967.29 = 1,695.78/x
  3. Step 3: Cross multiply
    2,874.33x = 3,967.29 × 1,695.78
  4. Step 4: Simplify right side
    2,874.33x = 6,727,651.04
  5. Step 5: Solve for x
    x = 6,727,651.04/2,874.33
  6. Step 6: Final answer
    x = 2,340.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.