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Finding the Fourth Proportional to 2,744.50, 3,788.37 and 1,640.50

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Solution

The fourth proportional to 2,744.50, 3,788.37 and 1,640.50 is: 2,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.50 : 3,788.37 = 1,640.50 : x
  2. Step 2: Convert to fraction form
    2,744.50/3,788.37 = 1,640.50/x
  3. Step 3: Cross multiply
    2,744.50x = 3,788.37 × 1,640.50
  4. Step 4: Simplify right side
    2,744.50x = 6,214,820.99
  5. Step 5: Solve for x
    x = 6,214,820.99/2,744.50
  6. Step 6: Final answer
    x = 2,264.46

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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.