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Finding the Fourth Proportional to 21,274.98, 31,910.04 and 5,693.82

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Solution

The fourth proportional to 21,274.98, 31,910.04 and 5,693.82 is: 8,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.98 : 31,910.04 = 5,693.82 : x
  2. Step 2: Convert to fraction form
    21,274.98/31,910.04 = 5,693.82/x
  3. Step 3: Cross multiply
    21,274.98x = 31,910.04 × 5,693.82
  4. Step 4: Simplify right side
    21,274.98x = 181,690,023.95
  5. Step 5: Solve for x
    x = 181,690,023.95/21,274.98
  6. Step 6: Final answer
    x = 8,540.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.