Home / 2,831.80-3,907.26-1,783.24

Finding the Fourth Proportional to 2,831.80, 3,907.26 and 1,783.24

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Solution

The fourth proportional to 2,831.80, 3,907.26 and 1,783.24 is: 2,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.80 : 3,907.26 = 1,783.24 : x
  2. Step 2: Convert to fraction form
    2,831.80/3,907.26 = 1,783.24/x
  3. Step 3: Cross multiply
    2,831.80x = 3,907.26 × 1,783.24
  4. Step 4: Simplify right side
    2,831.80x = 6,967,582.32
  5. Step 5: Solve for x
    x = 6,967,582.32/2,831.80
  6. Step 6: Final answer
    x = 2,460.48

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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.