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Finding the Fourth Proportional to 3,759, 5,639.79 and 1,680.44

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Solution

The fourth proportional to 3,759, 5,639.79 and 1,680.44 is: 2,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759 : 5,639.79 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    3,759/5,639.79 = 1,680.44/x
  3. Step 3: Cross multiply
    3,759x = 5,639.79 × 1,680.44
  4. Step 4: Simplify right side
    3,759x = 9,477,300.51
  5. Step 5: Solve for x
    x = 9,477,300.51/3,759
  6. Step 6: Final answer
    x = 2,521.23

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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.