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Finding the Fourth Proportional to 8,657.85, 12,978.97 and 3,109.89

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Solution

The fourth proportional to 8,657.85, 12,978.97 and 3,109.89 is: 4,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.85 : 12,978.97 = 3,109.89 : x
  2. Step 2: Convert to fraction form
    8,657.85/12,978.97 = 3,109.89/x
  3. Step 3: Cross multiply
    8,657.85x = 12,978.97 × 3,109.89
  4. Step 4: Simplify right side
    8,657.85x = 40,363,169.01
  5. Step 5: Solve for x
    x = 40,363,169.01/8,657.85
  6. Step 6: Final answer
    x = 4,662.03

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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.