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Finding the Fourth Proportional to 13,800, 20,702.16 and 5,033.28

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Solution

The fourth proportional to 13,800, 20,702.16 and 5,033.28 is: 7,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 20,702.16 = 5,033.28 : x
  2. Step 2: Convert to fraction form
    13,800/20,702.16 = 5,033.28/x
  3. Step 3: Cross multiply
    13,800x = 20,702.16 × 5,033.28
  4. Step 4: Simplify right side
    13,800x = 104,199,767.88
  5. Step 5: Solve for x
    x = 104,199,767.88/13,800
  6. Step 6: Final answer
    x = 7,550.71

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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.