Home / 3,831.25-5,752.13-1,983.64

Finding the Fourth Proportional to 3,831.25, 5,752.13 and 1,983.64

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Solution

The fourth proportional to 3,831.25, 5,752.13 and 1,983.64 is: 2,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.25 : 5,752.13 = 1,983.64 : x
  2. Step 2: Convert to fraction form
    3,831.25/5,752.13 = 1,983.64/x
  3. Step 3: Cross multiply
    3,831.25x = 5,752.13 × 1,983.64
  4. Step 4: Simplify right side
    3,831.25x = 11,410,116.47
  5. Step 5: Solve for x
    x = 11,410,116.47/3,831.25
  6. Step 6: Final answer
    x = 2,978.17

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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.