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Finding the Fourth Proportional to 11,778.26, 16,258.86 and 7,061.63

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Solution

The fourth proportional to 11,778.26, 16,258.86 and 7,061.63 is: 9,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.26 : 16,258.86 = 7,061.63 : x
  2. Step 2: Convert to fraction form
    11,778.26/16,258.86 = 7,061.63/x
  3. Step 3: Cross multiply
    11,778.26x = 16,258.86 × 7,061.63
  4. Step 4: Simplify right side
    11,778.26x = 114,813,972.25
  5. Step 5: Solve for x
    x = 114,813,972.25/11,778.26
  6. Step 6: Final answer
    x = 9,747.96

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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.