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Finding the Fourth Proportional to 13,702.52, 20,553.78 and 3,314.28

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Solution

The fourth proportional to 13,702.52, 20,553.78 and 3,314.28 is: 4,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.52 : 20,553.78 = 3,314.28 : x
  2. Step 2: Convert to fraction form
    13,702.52/20,553.78 = 3,314.28/x
  3. Step 3: Cross multiply
    13,702.52x = 20,553.78 × 3,314.28
  4. Step 4: Simplify right side
    13,702.52x = 68,120,981.98
  5. Step 5: Solve for x
    x = 68,120,981.98/13,702.52
  6. Step 6: Final answer
    x = 4,971.42

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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.