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Finding the Fourth Proportional to 12,579.44, 17,367.74 and 7,804.48

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Solution

The fourth proportional to 12,579.44, 17,367.74 and 7,804.48 is: 10,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.44 : 17,367.74 = 7,804.48 : x
  2. Step 2: Convert to fraction form
    12,579.44/17,367.74 = 7,804.48/x
  3. Step 3: Cross multiply
    12,579.44x = 17,367.74 × 7,804.48
  4. Step 4: Simplify right side
    12,579.44x = 135,546,179.48
  5. Step 5: Solve for x
    x = 135,546,179.48/12,579.44
  6. Step 6: Final answer
    x = 10,775.22

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1.5x scale

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.