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Finding the Fourth Proportional to 11,745.93, 17,619.03 and 2,980.62

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Solution

The fourth proportional to 11,745.93, 17,619.03 and 2,980.62 is: 4,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.93 : 17,619.03 = 2,980.62 : x
  2. Step 2: Convert to fraction form
    11,745.93/17,619.03 = 2,980.62/x
  3. Step 3: Cross multiply
    11,745.93x = 17,619.03 × 2,980.62
  4. Step 4: Simplify right side
    11,745.93x = 52,515,633.20
  5. Step 5: Solve for x
    x = 52,515,633.20/11,745.93
  6. Step 6: Final answer
    x = 4,470.96

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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.