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Finding the Fourth Proportional to 2,831.83, 4,247.74 and 857.45

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Solution

The fourth proportional to 2,831.83, 4,247.74 and 857.45 is: 1,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.83 : 4,247.74 = 857.45 : x
  2. Step 2: Convert to fraction form
    2,831.83/4,247.74 = 857.45/x
  3. Step 3: Cross multiply
    2,831.83x = 4,247.74 × 857.45
  4. Step 4: Simplify right side
    2,831.83x = 3,642,236.35
  5. Step 5: Solve for x
    x = 3,642,236.35/2,831.83
  6. Step 6: Final answer
    x = 1,286.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.