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Finding the Fourth Proportional to 3,643.81, 5,463.96 and 1,975.27

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Solution

The fourth proportional to 3,643.81, 5,463.96 and 1,975.27 is: 2,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.81 : 5,463.96 = 1,975.27 : x
  2. Step 2: Convert to fraction form
    3,643.81/5,463.96 = 1,975.27/x
  3. Step 3: Cross multiply
    3,643.81x = 5,463.96 × 1,975.27
  4. Step 4: Simplify right side
    3,643.81x = 10,792,768.95
  5. Step 5: Solve for x
    x = 10,792,768.95/3,643.81
  6. Step 6: Final answer
    x = 2,961.95

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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.