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Finding the Fourth Proportional to 2,838.50, 4,249.50 and 1,739.50

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Solution

The fourth proportional to 2,838.50, 4,249.50 and 1,739.50 is: 2,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.50 : 4,249.50 = 1,739.50 : x
  2. Step 2: Convert to fraction form
    2,838.50/4,249.50 = 1,739.50/x
  3. Step 3: Cross multiply
    2,838.50x = 4,249.50 × 1,739.50
  4. Step 4: Simplify right side
    2,838.50x = 7,392,005.25
  5. Step 5: Solve for x
    x = 7,392,005.25/2,838.50
  6. Step 6: Final answer
    x = 2,604.19

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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.