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Finding the Fourth Proportional to 8,702.73, 13,054.01 and 2,128.86

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Solution

The fourth proportional to 8,702.73, 13,054.01 and 2,128.86 is: 3,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.73 : 13,054.01 = 2,128.86 : x
  2. Step 2: Convert to fraction form
    8,702.73/13,054.01 = 2,128.86/x
  3. Step 3: Cross multiply
    8,702.73x = 13,054.01 × 2,128.86
  4. Step 4: Simplify right side
    8,702.73x = 27,790,149.08
  5. Step 5: Solve for x
    x = 27,790,149.08/8,702.73
  6. Step 6: Final answer
    x = 3,193.27

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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.