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Finding the Fourth Proportional to 2,509.56, 3,764.52 and 1,279.44

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Solution

The fourth proportional to 2,509.56, 3,764.52 and 1,279.44 is: 1,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.56 : 3,764.52 = 1,279.44 : x
  2. Step 2: Convert to fraction form
    2,509.56/3,764.52 = 1,279.44/x
  3. Step 3: Cross multiply
    2,509.56x = 3,764.52 × 1,279.44
  4. Step 4: Simplify right side
    2,509.56x = 4,816,477.47
  5. Step 5: Solve for x
    x = 4,816,477.47/2,509.56
  6. Step 6: Final answer
    x = 1,919.25

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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.