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Finding the Fourth Proportional to 13,416.46, 18,511.42 and 8,039.77

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Solution

The fourth proportional to 13,416.46, 18,511.42 and 8,039.77 is: 11,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.46 : 18,511.42 = 8,039.77 : x
  2. Step 2: Convert to fraction form
    13,416.46/18,511.42 = 8,039.77/x
  3. Step 3: Cross multiply
    13,416.46x = 18,511.42 × 8,039.77
  4. Step 4: Simplify right side
    13,416.46x = 148,827,559.17
  5. Step 5: Solve for x
    x = 148,827,559.17/13,416.46
  6. Step 6: Final answer
    x = 11,092.91

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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.