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Finding the Fourth Proportional to 12,295.89, 16,975.32 and 8,116.29

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Solution

The fourth proportional to 12,295.89, 16,975.32 and 8,116.29 is: 11,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.89 : 16,975.32 = 8,116.29 : x
  2. Step 2: Convert to fraction form
    12,295.89/16,975.32 = 8,116.29/x
  3. Step 3: Cross multiply
    12,295.89x = 16,975.32 × 8,116.29
  4. Step 4: Simplify right side
    12,295.89x = 137,776,619.96
  5. Step 5: Solve for x
    x = 137,776,619.96/12,295.89
  6. Step 6: Final answer
    x = 11,205.10

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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.