Home / 2,105.61-2,905.75-1,161.44

Finding the Fourth Proportional to 2,105.61, 2,905.75 and 1,161.44

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Solution

The fourth proportional to 2,105.61, 2,905.75 and 1,161.44 is: 1,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.61 : 2,905.75 = 1,161.44 : x
  2. Step 2: Convert to fraction form
    2,105.61/2,905.75 = 1,161.44/x
  3. Step 3: Cross multiply
    2,105.61x = 2,905.75 × 1,161.44
  4. Step 4: Simplify right side
    2,105.61x = 3,374,842.65
  5. Step 5: Solve for x
    x = 3,374,842.65/2,105.61
  6. Step 6: Final answer
    x = 1,602.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.