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Finding the Fourth Proportional to 13,832.34, 20,769.24 and 7,915.89

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Solution

The fourth proportional to 13,832.34, 20,769.24 and 7,915.89 is: 11,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.34 : 20,769.24 = 7,915.89 : x
  2. Step 2: Convert to fraction form
    13,832.34/20,769.24 = 7,915.89/x
  3. Step 3: Cross multiply
    13,832.34x = 20,769.24 × 7,915.89
  4. Step 4: Simplify right side
    13,832.34x = 164,407,019.22
  5. Step 5: Solve for x
    x = 164,407,019.22/13,832.34
  6. Step 6: Final answer
    x = 11,885.70

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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.