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Finding the Fourth Proportional to 10,871, 16,256.66 and 8,099.56

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Solution

The fourth proportional to 10,871, 16,256.66 and 8,099.56 is: 12,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871 : 16,256.66 = 8,099.56 : x
  2. Step 2: Convert to fraction form
    10,871/16,256.66 = 8,099.56/x
  3. Step 3: Cross multiply
    10,871x = 16,256.66 × 8,099.56
  4. Step 4: Simplify right side
    10,871x = 131,671,793.07
  5. Step 5: Solve for x
    x = 131,671,793.07/10,871
  6. Step 6: Final answer
    x = 12,112.21

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Why These Related Problems?

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