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Finding the Fourth Proportional to 2,758.62, 3,806.97 and 1,580.07

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Solution

The fourth proportional to 2,758.62, 3,806.97 and 1,580.07 is: 2,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.62 : 3,806.97 = 1,580.07 : x
  2. Step 2: Convert to fraction form
    2,758.62/3,806.97 = 1,580.07/x
  3. Step 3: Cross multiply
    2,758.62x = 3,806.97 × 1,580.07
  4. Step 4: Simplify right side
    2,758.62x = 6,015,279.09
  5. Step 5: Solve for x
    x = 6,015,279.09/2,758.62
  6. Step 6: Final answer
    x = 2,180.54

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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.