Home / 2,109.87-2,911.70-1,165.77

Finding the Fourth Proportional to 2,109.87, 2,911.70 and 1,165.77

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Solution

The fourth proportional to 2,109.87, 2,911.70 and 1,165.77 is: 1,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.87 : 2,911.70 = 1,165.77 : x
  2. Step 2: Convert to fraction form
    2,109.87/2,911.70 = 1,165.77/x
  3. Step 3: Cross multiply
    2,109.87x = 2,911.70 × 1,165.77
  4. Step 4: Simplify right side
    2,109.87x = 3,394,366.68
  5. Step 5: Solve for x
    x = 3,394,366.68/2,109.87
  6. Step 6: Final answer
    x = 1,608.80

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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.