Home / 2,831.02-3,906.94-1,652.02

Finding the Fourth Proportional to 2,831.02, 3,906.94 and 1,652.02

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Solution

The fourth proportional to 2,831.02, 3,906.94 and 1,652.02 is: 2,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.02 : 3,906.94 = 1,652.02 : x
  2. Step 2: Convert to fraction form
    2,831.02/3,906.94 = 1,652.02/x
  3. Step 3: Cross multiply
    2,831.02x = 3,906.94 × 1,652.02
  4. Step 4: Simplify right side
    2,831.02x = 6,454,343.02
  5. Step 5: Solve for x
    x = 6,454,343.02/2,831.02
  6. Step 6: Final answer
    x = 2,279.86

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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.