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Finding the Fourth Proportional to 12,093.81, 16,688.55 and 6,787.61

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Solution

The fourth proportional to 12,093.81, 16,688.55 and 6,787.61 is: 9,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.81 : 16,688.55 = 6,787.61 : x
  2. Step 2: Convert to fraction form
    12,093.81/16,688.55 = 6,787.61/x
  3. Step 3: Cross multiply
    12,093.81x = 16,688.55 × 6,787.61
  4. Step 4: Simplify right side
    12,093.81x = 113,275,368.87
  5. Step 5: Solve for x
    x = 113,275,368.87/12,093.81
  6. Step 6: Final answer
    x = 9,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.