Home / 2,878-3,972.12-2,178.16

Finding the Fourth Proportional to 2,878, 3,972.12 and 2,178.16

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Solution

The fourth proportional to 2,878, 3,972.12 and 2,178.16 is: 3,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878 : 3,972.12 = 2,178.16 : x
  2. Step 2: Convert to fraction form
    2,878/3,972.12 = 2,178.16/x
  3. Step 3: Cross multiply
    2,878x = 3,972.12 × 2,178.16
  4. Step 4: Simplify right side
    2,878x = 8,651,912.90
  5. Step 5: Solve for x
    x = 8,651,912.90/2,878
  6. Step 6: Final answer
    x = 3,006.22

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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.