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Finding the Fourth Proportional to 11,750.86, 16,212.90 and 7,561.54

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Solution

The fourth proportional to 11,750.86, 16,212.90 and 7,561.54 is: 10,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.86 : 16,212.90 = 7,561.54 : x
  2. Step 2: Convert to fraction form
    11,750.86/16,212.90 = 7,561.54/x
  3. Step 3: Cross multiply
    11,750.86x = 16,212.90 × 7,561.54
  4. Step 4: Simplify right side
    11,750.86x = 122,594,491.87
  5. Step 5: Solve for x
    x = 122,594,491.87/11,750.86
  6. Step 6: Final answer
    x = 10,432.81

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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.