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Finding the Fourth Proportional to 3,759.94, 5,639.91 and 1,706.50

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Solution

The fourth proportional to 3,759.94, 5,639.91 and 1,706.50 is: 2,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.94 : 5,639.91 = 1,706.50 : x
  2. Step 2: Convert to fraction form
    3,759.94/5,639.91 = 1,706.50/x
  3. Step 3: Cross multiply
    3,759.94x = 5,639.91 × 1,706.50
  4. Step 4: Simplify right side
    3,759.94x = 9,624,506.42
  5. Step 5: Solve for x
    x = 9,624,506.42/3,759.94
  6. Step 6: Final answer
    x = 2,559.75

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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.