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Finding the Fourth Proportional to 21,978.07, 30,329.80 and 11,906.46

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Solution

The fourth proportional to 21,978.07, 30,329.80 and 11,906.46 is: 16,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.07 : 30,329.80 = 11,906.46 : x
  2. Step 2: Convert to fraction form
    21,978.07/30,329.80 = 11,906.46/x
  3. Step 3: Cross multiply
    21,978.07x = 30,329.80 × 11,906.46
  4. Step 4: Simplify right side
    21,978.07x = 361,120,520.74
  5. Step 5: Solve for x
    x = 361,120,520.74/21,978.07
  6. Step 6: Final answer
    x = 16,430.95

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1.5x scale

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.