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Finding the Fourth Proportional to 11,683.88, 16,123.52 and 6,378.73

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Solution

The fourth proportional to 11,683.88, 16,123.52 and 6,378.73 is: 8,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.88 : 16,123.52 = 6,378.73 : x
  2. Step 2: Convert to fraction form
    11,683.88/16,123.52 = 6,378.73/x
  3. Step 3: Cross multiply
    11,683.88x = 16,123.52 × 6,378.73
  4. Step 4: Simplify right side
    11,683.88x = 102,847,580.73
  5. Step 5: Solve for x
    x = 102,847,580.73/11,683.88
  6. Step 6: Final answer
    x = 8,802.52

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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.