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Finding the Fourth Proportional to 6,137.88, 8,470.44 and 3,619.76

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Solution

The fourth proportional to 6,137.88, 8,470.44 and 3,619.76 is: 4,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.88 : 8,470.44 = 3,619.76 : x
  2. Step 2: Convert to fraction form
    6,137.88/8,470.44 = 3,619.76/x
  3. Step 3: Cross multiply
    6,137.88x = 8,470.44 × 3,619.76
  4. Step 4: Simplify right side
    6,137.88x = 30,660,917.54
  5. Step 5: Solve for x
    x = 30,660,917.54/6,137.88
  6. Step 6: Final answer
    x = 4,995.36

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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.