Home / 2,831.14-3,906.61-1,783

Finding the Fourth Proportional to 2,831.14, 3,906.61 and 1,783

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Solution

The fourth proportional to 2,831.14, 3,906.61 and 1,783 is: 2,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.14 : 3,906.61 = 1,783 : x
  2. Step 2: Convert to fraction form
    2,831.14/3,906.61 = 1,783/x
  3. Step 3: Cross multiply
    2,831.14x = 3,906.61 × 1,783
  4. Step 4: Simplify right side
    2,831.14x = 6,965,485.63
  5. Step 5: Solve for x
    x = 6,965,485.63/2,831.14
  6. Step 6: Final answer
    x = 2,460.31

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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.