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Finding the Fourth Proportional to 11,427, 15,771.42 and 6,459

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Solution

The fourth proportional to 11,427, 15,771.42 and 6,459 is: 8,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427 : 15,771.42 = 6,459 : x
  2. Step 2: Convert to fraction form
    11,427/15,771.42 = 6,459/x
  3. Step 3: Cross multiply
    11,427x = 15,771.42 × 6,459
  4. Step 4: Simplify right side
    11,427x = 101,867,601.78
  5. Step 5: Solve for x
    x = 101,867,601.78/11,427
  6. Step 6: Final answer
    x = 8,914.64

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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.