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Finding the Fourth Proportional to 2,305.86, 3,182.20 and 1,361.74

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Solution

The fourth proportional to 2,305.86, 3,182.20 and 1,361.74 is: 1,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.86 : 3,182.20 = 1,361.74 : x
  2. Step 2: Convert to fraction form
    2,305.86/3,182.20 = 1,361.74/x
  3. Step 3: Cross multiply
    2,305.86x = 3,182.20 × 1,361.74
  4. Step 4: Simplify right side
    2,305.86x = 4,333,329.03
  5. Step 5: Solve for x
    x = 4,333,329.03/2,305.86
  6. Step 6: Final answer
    x = 1,879.27

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1.5x scale

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.