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Finding the Fourth Proportional to 21,804.75, 32,718.94 and 16,884

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Solution

The fourth proportional to 21,804.75, 32,718.94 and 16,884 is: 25,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.75 : 32,718.94 = 16,884 : x
  2. Step 2: Convert to fraction form
    21,804.75/32,718.94 = 16,884/x
  3. Step 3: Cross multiply
    21,804.75x = 32,718.94 × 16,884
  4. Step 4: Simplify right side
    21,804.75x = 552,426,540.75
  5. Step 5: Solve for x
    x = 552,426,540.75/21,804.75
  6. Step 6: Final answer
    x = 25,335.15

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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.