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Finding the Fourth Proportional to 3,208, 4,427.04 and 1,736

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Solution

The fourth proportional to 3,208, 4,427.04 and 1,736 is: 2,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208 : 4,427.04 = 1,736 : x
  2. Step 2: Convert to fraction form
    3,208/4,427.04 = 1,736/x
  3. Step 3: Cross multiply
    3,208x = 4,427.04 × 1,736
  4. Step 4: Simplify right side
    3,208x = 7,685,341.44
  5. Step 5: Solve for x
    x = 7,685,341.44/3,208
  6. Step 6: Final answer
    x = 2,395.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.