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Finding the Fourth Proportional to 3,109.83, 4,664.74 and 2,560.86

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Solution

The fourth proportional to 3,109.83, 4,664.74 and 2,560.86 is: 3,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.83 : 4,664.74 = 2,560.86 : x
  2. Step 2: Convert to fraction form
    3,109.83/4,664.74 = 2,560.86/x
  3. Step 3: Cross multiply
    3,109.83x = 4,664.74 × 2,560.86
  4. Step 4: Simplify right side
    3,109.83x = 11,945,731.36
  5. Step 5: Solve for x
    x = 11,945,731.36/3,109.83
  6. Step 6: Final answer
    x = 3,841.29

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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.