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Finding the Fourth Proportional to 8,638.75, 12,961.19 and 4,259.31

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Solution

The fourth proportional to 8,638.75, 12,961.19 and 4,259.31 is: 6,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.75 : 12,961.19 = 4,259.31 : x
  2. Step 2: Convert to fraction form
    8,638.75/12,961.19 = 4,259.31/x
  3. Step 3: Cross multiply
    8,638.75x = 12,961.19 × 4,259.31
  4. Step 4: Simplify right side
    8,638.75x = 55,205,726.18
  5. Step 5: Solve for x
    x = 55,205,726.18/8,638.75
  6. Step 6: Final answer
    x = 6,390.48

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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.