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Finding the Fourth Proportional to 11,761.60, 17,643.84 and 3,971.20

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Solution

The fourth proportional to 11,761.60, 17,643.84 and 3,971.20 is: 5,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.60 : 17,643.84 = 3,971.20 : x
  2. Step 2: Convert to fraction form
    11,761.60/17,643.84 = 3,971.20/x
  3. Step 3: Cross multiply
    11,761.60x = 17,643.84 × 3,971.20
  4. Step 4: Simplify right side
    11,761.60x = 70,067,217.41
  5. Step 5: Solve for x
    x = 70,067,217.41/11,761.60
  6. Step 6: Final answer
    x = 5,957.29

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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.