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Finding the Fourth Proportional to 21,820.88, 32,728.44 and 8,669.84

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Solution

The fourth proportional to 21,820.88, 32,728.44 and 8,669.84 is: 13,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.88 : 32,728.44 = 8,669.84 : x
  2. Step 2: Convert to fraction form
    21,820.88/32,728.44 = 8,669.84/x
  3. Step 3: Cross multiply
    21,820.88x = 32,728.44 × 8,669.84
  4. Step 4: Simplify right side
    21,820.88x = 283,750,338.25
  5. Step 5: Solve for x
    x = 283,750,338.25/21,820.88
  6. Step 6: Final answer
    x = 13,003.62

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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.