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Finding the Fourth Proportional to 13,737.76, 18,962.58 and 8,072.41

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Solution

The fourth proportional to 13,737.76, 18,962.58 and 8,072.41 is: 11,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.76 : 18,962.58 = 8,072.41 : x
  2. Step 2: Convert to fraction form
    13,737.76/18,962.58 = 8,072.41/x
  3. Step 3: Cross multiply
    13,737.76x = 18,962.58 × 8,072.41
  4. Step 4: Simplify right side
    13,737.76x = 153,073,720.42
  5. Step 5: Solve for x
    x = 153,073,720.42/13,737.76
  6. Step 6: Final answer
    x = 11,142.55

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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.