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Finding the Fourth Proportional to 11,761.56, 17,642.16 and 3,975.84

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Solution

The fourth proportional to 11,761.56, 17,642.16 and 3,975.84 is: 5,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.56 : 17,642.16 = 3,975.84 : x
  2. Step 2: Convert to fraction form
    11,761.56/17,642.16 = 3,975.84/x
  3. Step 3: Cross multiply
    11,761.56x = 17,642.16 × 3,975.84
  4. Step 4: Simplify right side
    11,761.56x = 70,142,405.41
  5. Step 5: Solve for x
    x = 70,142,405.41/11,761.56
  6. Step 6: Final answer
    x = 5,963.70

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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.