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Finding the Fourth Proportional to 11,038.87, 16,558.31 and 7,766.61

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Solution

The fourth proportional to 11,038.87, 16,558.31 and 7,766.61 is: 11,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.87 : 16,558.31 = 7,766.61 : x
  2. Step 2: Convert to fraction form
    11,038.87/16,558.31 = 7,766.61/x
  3. Step 3: Cross multiply
    11,038.87x = 16,558.31 × 7,766.61
  4. Step 4: Simplify right side
    11,038.87x = 128,601,936.03
  5. Step 5: Solve for x
    x = 128,601,936.03/11,038.87
  6. Step 6: Final answer
    x = 11,649.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.