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Finding the Fourth Proportional to 18,831.24, 28,229.42 and 6,978.41

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Solution

The fourth proportional to 18,831.24, 28,229.42 and 6,978.41 is: 10,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831.24 : 28,229.42 = 6,978.41 : x
  2. Step 2: Convert to fraction form
    18,831.24/28,229.42 = 6,978.41/x
  3. Step 3: Cross multiply
    18,831.24x = 28,229.42 × 6,978.41
  4. Step 4: Simplify right side
    18,831.24x = 196,996,361.36
  5. Step 5: Solve for x
    x = 196,996,361.36/18,831.24
  6. Step 6: Final answer
    x = 10,461.15

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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.