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Finding the Fourth Proportional to 3,686, 5,086.65 and 2,114.06

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Solution

The fourth proportional to 3,686, 5,086.65 and 2,114.06 is: 2,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686 : 5,086.65 = 2,114.06 : x
  2. Step 2: Convert to fraction form
    3,686/5,086.65 = 2,114.06/x
  3. Step 3: Cross multiply
    3,686x = 5,086.65 × 2,114.06
  4. Step 4: Simplify right side
    3,686x = 10,753,483.30
  5. Step 5: Solve for x
    x = 10,753,483.30/3,686
  6. Step 6: Final answer
    x = 2,917.39

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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.