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Finding the Fourth Proportional to 13,702.92, 20,541.42 and 5,388.27

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Solution

The fourth proportional to 13,702.92, 20,541.42 and 5,388.27 is: 8,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.92 : 20,541.42 = 5,388.27 : x
  2. Step 2: Convert to fraction form
    13,702.92/20,541.42 = 5,388.27/x
  3. Step 3: Cross multiply
    13,702.92x = 20,541.42 × 5,388.27
  4. Step 4: Simplify right side
    13,702.92x = 110,682,717.14
  5. Step 5: Solve for x
    x = 110,682,717.14/13,702.92
  6. Step 6: Final answer
    x = 8,077.31

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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.