Home / 3,102.94-4,282.32-1,705.96

Finding the Fourth Proportional to 3,102.94, 4,282.32 and 1,705.96

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Solution

The fourth proportional to 3,102.94, 4,282.32 and 1,705.96 is: 2,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,282.32 = 1,705.96 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,282.32 = 1,705.96/x
  3. Step 3: Cross multiply
    3,102.94x = 4,282.32 × 1,705.96
  4. Step 4: Simplify right side
    3,102.94x = 7,305,466.63
  5. Step 5: Solve for x
    x = 7,305,466.63/3,102.94
  6. Step 6: Final answer
    x = 2,354.37

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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.