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Finding the Fourth Proportional to 3,803.85, 5,706.31 and 1,724.38

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Solution

The fourth proportional to 3,803.85, 5,706.31 and 1,724.38 is: 2,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.85 : 5,706.31 = 1,724.38 : x
  2. Step 2: Convert to fraction form
    3,803.85/5,706.31 = 1,724.38/x
  3. Step 3: Cross multiply
    3,803.85x = 5,706.31 × 1,724.38
  4. Step 4: Simplify right side
    3,803.85x = 9,839,828.26
  5. Step 5: Solve for x
    x = 9,839,828.26/3,803.85
  6. Step 6: Final answer
    x = 2,586.81

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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.