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Finding the Fourth Proportional to 2,831.76, 3,908.20 and 1,589.76

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Solution

The fourth proportional to 2,831.76, 3,908.20 and 1,589.76 is: 2,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.76 : 3,908.20 = 1,589.76 : x
  2. Step 2: Convert to fraction form
    2,831.76/3,908.20 = 1,589.76/x
  3. Step 3: Cross multiply
    2,831.76x = 3,908.20 × 1,589.76
  4. Step 4: Simplify right side
    2,831.76x = 6,213,100.03
  5. Step 5: Solve for x
    x = 6,213,100.03/2,831.76
  6. Step 6: Final answer
    x = 2,194.08

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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.