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Finding the Fourth Proportional to 2,879.84, 3,974.28 and 1,831.88

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Solution

The fourth proportional to 2,879.84, 3,974.28 and 1,831.88 is: 2,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.84 : 3,974.28 = 1,831.88 : x
  2. Step 2: Convert to fraction form
    2,879.84/3,974.28 = 1,831.88/x
  3. Step 3: Cross multiply
    2,879.84x = 3,974.28 × 1,831.88
  4. Step 4: Simplify right side
    2,879.84x = 7,280,404.05
  5. Step 5: Solve for x
    x = 7,280,404.05/2,879.84
  6. Step 6: Final answer
    x = 2,528.06

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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.