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Finding the Fourth Proportional to 3,678, 5,074.56 and 2,185.17

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Solution

The fourth proportional to 3,678, 5,074.56 and 2,185.17 is: 3,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,074.56 = 2,185.17 : x
  2. Step 2: Convert to fraction form
    3,678/5,074.56 = 2,185.17/x
  3. Step 3: Cross multiply
    3,678x = 5,074.56 × 2,185.17
  4. Step 4: Simplify right side
    3,678x = 11,088,776.28
  5. Step 5: Solve for x
    x = 11,088,776.28/3,678
  6. Step 6: Final answer
    x = 3,014.89

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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.