Home / 2,831.64-3,907.74-1,572.66

Finding the Fourth Proportional to 2,831.64, 3,907.74 and 1,572.66

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Solution

The fourth proportional to 2,831.64, 3,907.74 and 1,572.66 is: 2,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.64 : 3,907.74 = 1,572.66 : x
  2. Step 2: Convert to fraction form
    2,831.64/3,907.74 = 1,572.66/x
  3. Step 3: Cross multiply
    2,831.64x = 3,907.74 × 1,572.66
  4. Step 4: Simplify right side
    2,831.64x = 6,145,546.39
  5. Step 5: Solve for x
    x = 6,145,546.39/2,831.64
  6. Step 6: Final answer
    x = 2,170.31

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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.