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Finding the Fourth Proportional to 14,862.22, 20,511.57 and 8,489.82

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Solution

The fourth proportional to 14,862.22, 20,511.57 and 8,489.82 is: 11,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.22 : 20,511.57 = 8,489.82 : x
  2. Step 2: Convert to fraction form
    14,862.22/20,511.57 = 8,489.82/x
  3. Step 3: Cross multiply
    14,862.22x = 20,511.57 × 8,489.82
  4. Step 4: Simplify right side
    14,862.22x = 174,139,537.22
  5. Step 5: Solve for x
    x = 174,139,537.22/14,862.22
  6. Step 6: Final answer
    x = 11,716.93

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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.