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Finding the Fourth Proportional to 21,978.68, 30,330.35 and 11,906.49

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Solution

The fourth proportional to 21,978.68, 30,330.35 and 11,906.49 is: 16,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.68 : 30,330.35 = 11,906.49 : x
  2. Step 2: Convert to fraction form
    21,978.68/30,330.35 = 11,906.49/x
  3. Step 3: Cross multiply
    21,978.68x = 30,330.35 × 11,906.49
  4. Step 4: Simplify right side
    21,978.68x = 361,128,107.83
  5. Step 5: Solve for x
    x = 361,128,107.83/21,978.68
  6. Step 6: Final answer
    x = 16,430.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.