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Finding the Fourth Proportional to 11,761.39, 17,642.09 and 3,970.21

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Solution

The fourth proportional to 11,761.39, 17,642.09 and 3,970.21 is: 5,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.39 : 17,642.09 = 3,970.21 : x
  2. Step 2: Convert to fraction form
    11,761.39/17,642.09 = 3,970.21/x
  3. Step 3: Cross multiply
    11,761.39x = 17,642.09 × 3,970.21
  4. Step 4: Simplify right side
    11,761.39x = 70,042,802.14
  5. Step 5: Solve for x
    x = 70,042,802.14/11,761.39
  6. Step 6: Final answer
    x = 5,955.32

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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.