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Finding the Fourth Proportional to 21,809.71, 30,098.96 and 12,378.88

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Solution

The fourth proportional to 21,809.71, 30,098.96 and 12,378.88 is: 17,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.71 : 30,098.96 = 12,378.88 : x
  2. Step 2: Convert to fraction form
    21,809.71/30,098.96 = 12,378.88/x
  3. Step 3: Cross multiply
    21,809.71x = 30,098.96 × 12,378.88
  4. Step 4: Simplify right side
    21,809.71x = 372,591,413.96
  5. Step 5: Solve for x
    x = 372,591,413.96/21,809.71
  6. Step 6: Final answer
    x = 17,083.74

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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.