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Finding the Fourth Proportional to 3,643.78, 5,473.03 and 2,185.70

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Solution

The fourth proportional to 3,643.78, 5,473.03 and 2,185.70 is: 3,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.78 : 5,473.03 = 2,185.70 : x
  2. Step 2: Convert to fraction form
    3,643.78/5,473.03 = 2,185.70/x
  3. Step 3: Cross multiply
    3,643.78x = 5,473.03 × 2,185.70
  4. Step 4: Simplify right side
    3,643.78x = 11,962,401.67
  5. Step 5: Solve for x
    x = 11,962,401.67/3,643.78
  6. Step 6: Final answer
    x = 3,282.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.