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Finding the Fourth Proportional to 2,831.37, 4,247.39 and 751.41

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Solution

The fourth proportional to 2,831.37, 4,247.39 and 751.41 is: 1,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.37 : 4,247.39 = 751.41 : x
  2. Step 2: Convert to fraction form
    2,831.37/4,247.39 = 751.41/x
  3. Step 3: Cross multiply
    2,831.37x = 4,247.39 × 751.41
  4. Step 4: Simplify right side
    2,831.37x = 3,191,538.21
  5. Step 5: Solve for x
    x = 3,191,538.21/2,831.37
  6. Step 6: Final answer
    x = 1,127.21

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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.