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Finding the Fourth Proportional to 13,324.26, 19,986.74 and 4,090.26

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Solution

The fourth proportional to 13,324.26, 19,986.74 and 4,090.26 is: 6,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.26 : 19,986.74 = 4,090.26 : x
  2. Step 2: Convert to fraction form
    13,324.26/19,986.74 = 4,090.26/x
  3. Step 3: Cross multiply
    13,324.26x = 19,986.74 × 4,090.26
  4. Step 4: Simplify right side
    13,324.26x = 81,750,963.15
  5. Step 5: Solve for x
    x = 81,750,963.15/13,324.26
  6. Step 6: Final answer
    x = 6,135.50

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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.