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Finding the Fourth Proportional to 8,271, 11,414.52 and 5,129.28

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Solution

The fourth proportional to 8,271, 11,414.52 and 5,129.28 is: 7,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 11,414.52 = 5,129.28 : x
  2. Step 2: Convert to fraction form
    8,271/11,414.52 = 5,129.28/x
  3. Step 3: Cross multiply
    8,271x = 11,414.52 × 5,129.28
  4. Step 4: Simplify right side
    8,271x = 58,548,269.15
  5. Step 5: Solve for x
    x = 58,548,269.15/8,271
  6. Step 6: Final answer
    x = 7,078.74

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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.