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Finding the Fourth Proportional to 11,753.22, 16,218.91 and 6,447.93

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Solution

The fourth proportional to 11,753.22, 16,218.91 and 6,447.93 is: 8,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.22 : 16,218.91 = 6,447.93 : x
  2. Step 2: Convert to fraction form
    11,753.22/16,218.91 = 6,447.93/x
  3. Step 3: Cross multiply
    11,753.22x = 16,218.91 × 6,447.93
  4. Step 4: Simplify right side
    11,753.22x = 104,578,396.36
  5. Step 5: Solve for x
    x = 104,578,396.36/11,753.22
  6. Step 6: Final answer
    x = 8,897.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.