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Finding the Fourth Proportional to 2,878.68, 3,976.16 and 2,223.48

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Solution

The fourth proportional to 2,878.68, 3,976.16 and 2,223.48 is: 3,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.68 : 3,976.16 = 2,223.48 : x
  2. Step 2: Convert to fraction form
    2,878.68/3,976.16 = 2,223.48/x
  3. Step 3: Cross multiply
    2,878.68x = 3,976.16 × 2,223.48
  4. Step 4: Simplify right side
    2,878.68x = 8,840,912.24
  5. Step 5: Solve for x
    x = 8,840,912.24/2,878.68
  6. Step 6: Final answer
    x = 3,071.17

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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.