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Finding the Fourth Proportional to 2,831.84, 4,247.78 and 857.47

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Solution

The fourth proportional to 2,831.84, 4,247.78 and 857.47 is: 1,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.84 : 4,247.78 = 857.47 : x
  2. Step 2: Convert to fraction form
    2,831.84/4,247.78 = 857.47/x
  3. Step 3: Cross multiply
    2,831.84x = 4,247.78 × 857.47
  4. Step 4: Simplify right side
    2,831.84x = 3,642,343.92
  5. Step 5: Solve for x
    x = 3,642,343.92/2,831.84
  6. Step 6: Final answer
    x = 1,286.21

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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.