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Finding the Fourth Proportional to 11,867.63, 16,377.59 and 7,683.17

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Solution

The fourth proportional to 11,867.63, 16,377.59 and 7,683.17 is: 10,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.63 : 16,377.59 = 7,683.17 : x
  2. Step 2: Convert to fraction form
    11,867.63/16,377.59 = 7,683.17/x
  3. Step 3: Cross multiply
    11,867.63x = 16,377.59 × 7,683.17
  4. Step 4: Simplify right side
    11,867.63x = 125,831,745.48
  5. Step 5: Solve for x
    x = 125,831,745.48/11,867.63
  6. Step 6: Final answer
    x = 10,602.94

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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.