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Finding the Fourth Proportional to 3,831.64, 5,739.30 and 1,854.28

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Solution

The fourth proportional to 3,831.64, 5,739.30 and 1,854.28 is: 2,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.64 : 5,739.30 = 1,854.28 : x
  2. Step 2: Convert to fraction form
    3,831.64/5,739.30 = 1,854.28/x
  3. Step 3: Cross multiply
    3,831.64x = 5,739.30 × 1,854.28
  4. Step 4: Simplify right side
    3,831.64x = 10,642,269.20
  5. Step 5: Solve for x
    x = 10,642,269.20/3,831.64
  6. Step 6: Final answer
    x = 2,777.47

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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.