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Finding the Fourth Proportional to 19,978.74, 29,968.12 and 6,831.21

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Solution

The fourth proportional to 19,978.74, 29,968.12 and 6,831.21 is: 10,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.74 : 29,968.12 = 6,831.21 : x
  2. Step 2: Convert to fraction form
    19,978.74/29,968.12 = 6,831.21/x
  3. Step 3: Cross multiply
    19,978.74x = 29,968.12 × 6,831.21
  4. Step 4: Simplify right side
    19,978.74x = 204,718,354.11
  5. Step 5: Solve for x
    x = 204,718,354.11/19,978.74
  6. Step 6: Final answer
    x = 10,246.81

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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.