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Finding the Fourth Proportional to 2,831.84, 3,906.84 and 1,782.08

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Solution

The fourth proportional to 2,831.84, 3,906.84 and 1,782.08 is: 2,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.84 : 3,906.84 = 1,782.08 : x
  2. Step 2: Convert to fraction form
    2,831.84/3,906.84 = 1,782.08/x
  3. Step 3: Cross multiply
    2,831.84x = 3,906.84 × 1,782.08
  4. Step 4: Simplify right side
    2,831.84x = 6,962,301.43
  5. Step 5: Solve for x
    x = 6,962,301.43/2,831.84
  6. Step 6: Final answer
    x = 2,458.58

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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.