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Finding the Fourth Proportional to 3,777.71, 5,659.27 and 1,831.28

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Solution

The fourth proportional to 3,777.71, 5,659.27 and 1,831.28 is: 2,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.71 : 5,659.27 = 1,831.28 : x
  2. Step 2: Convert to fraction form
    3,777.71/5,659.27 = 1,831.28/x
  3. Step 3: Cross multiply
    3,777.71x = 5,659.27 × 1,831.28
  4. Step 4: Simplify right side
    3,777.71x = 10,363,675.09
  5. Step 5: Solve for x
    x = 10,363,675.09/3,777.71
  6. Step 6: Final answer
    x = 2,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.