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Finding the Fourth Proportional to 8,657.35, 12,978.23 and 3,109.39

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Solution

The fourth proportional to 8,657.35, 12,978.23 and 3,109.39 is: 4,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.35 : 12,978.23 = 3,109.39 : x
  2. Step 2: Convert to fraction form
    8,657.35/12,978.23 = 3,109.39/x
  3. Step 3: Cross multiply
    8,657.35x = 12,978.23 × 3,109.39
  4. Step 4: Simplify right side
    8,657.35x = 40,354,378.58
  5. Step 5: Solve for x
    x = 40,354,378.58/8,657.35
  6. Step 6: Final answer
    x = 4,661.29

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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.