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Finding the Fourth Proportional to 21,201.12, 31,805.72 and 8,551.88

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Solution

The fourth proportional to 21,201.12, 31,805.72 and 8,551.88 is: 12,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.12 : 31,805.72 = 8,551.88 : x
  2. Step 2: Convert to fraction form
    21,201.12/31,805.72 = 8,551.88/x
  3. Step 3: Cross multiply
    21,201.12x = 31,805.72 × 8,551.88
  4. Step 4: Simplify right side
    21,201.12x = 271,998,700.75
  5. Step 5: Solve for x
    x = 271,998,700.75/21,201.12
  6. Step 6: Final answer
    x = 12,829.45

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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.