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Finding the Fourth Proportional to 2,906.87, 4,362.21 and 1,736

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Solution

The fourth proportional to 2,906.87, 4,362.21 and 1,736 is: 2,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.87 : 4,362.21 = 1,736 : x
  2. Step 2: Convert to fraction form
    2,906.87/4,362.21 = 1,736/x
  3. Step 3: Cross multiply
    2,906.87x = 4,362.21 × 1,736
  4. Step 4: Simplify right side
    2,906.87x = 7,572,796.56
  5. Step 5: Solve for x
    x = 7,572,796.56/2,906.87
  6. Step 6: Final answer
    x = 2,605.14

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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.