Home / 2,831.22-3,906.63-1,782.54

Finding the Fourth Proportional to 2,831.22, 3,906.63 and 1,782.54

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Solution

The fourth proportional to 2,831.22, 3,906.63 and 1,782.54 is: 2,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.22 : 3,906.63 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    2,831.22/3,906.63 = 1,782.54/x
  3. Step 3: Cross multiply
    2,831.22x = 3,906.63 × 1,782.54
  4. Step 4: Simplify right side
    2,831.22x = 6,963,724.24
  5. Step 5: Solve for x
    x = 6,963,724.24/2,831.22
  6. Step 6: Final answer
    x = 2,459.62

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1.5x scale

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.