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Finding the Fourth Proportional to 2,758.56, 3,805.74 and 1,579.02

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Solution

The fourth proportional to 2,758.56, 3,805.74 and 1,579.02 is: 2,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.56 : 3,805.74 = 1,579.02 : x
  2. Step 2: Convert to fraction form
    2,758.56/3,805.74 = 1,579.02/x
  3. Step 3: Cross multiply
    2,758.56x = 3,805.74 × 1,579.02
  4. Step 4: Simplify right side
    2,758.56x = 6,009,339.57
  5. Step 5: Solve for x
    x = 6,009,339.57/2,758.56
  6. Step 6: Final answer
    x = 2,178.43

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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.