Home / 6,214-9,321.02-1,831.80

Finding the Fourth Proportional to 6,214, 9,321.02 and 1,831.80

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Solution

The fourth proportional to 6,214, 9,321.02 and 1,831.80 is: 2,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 9,321.02 = 1,831.80 : x
  2. Step 2: Convert to fraction form
    6,214/9,321.02 = 1,831.80/x
  3. Step 3: Cross multiply
    6,214x = 9,321.02 × 1,831.80
  4. Step 4: Simplify right side
    6,214x = 17,074,244.44
  5. Step 5: Solve for x
    x = 17,074,244.44/6,214
  6. Step 6: Final answer
    x = 2,747.71

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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.