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Finding the Fourth Proportional to 13,798.26, 20,702.79 and 7,951.68

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Solution

The fourth proportional to 13,798.26, 20,702.79 and 7,951.68 is: 11,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.26 : 20,702.79 = 7,951.68 : x
  2. Step 2: Convert to fraction form
    13,798.26/20,702.79 = 7,951.68/x
  3. Step 3: Cross multiply
    13,798.26x = 20,702.79 × 7,951.68
  4. Step 4: Simplify right side
    13,798.26x = 164,621,961.19
  5. Step 5: Solve for x
    x = 164,621,961.19/13,798.26
  6. Step 6: Final answer
    x = 11,930.63

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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.