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Finding the Fourth Proportional to 13,708.94, 18,918.36 and 7,421.31

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Solution

The fourth proportional to 13,708.94, 18,918.36 and 7,421.31 is: 10,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.94 : 18,918.36 = 7,421.31 : x
  2. Step 2: Convert to fraction form
    13,708.94/18,918.36 = 7,421.31/x
  3. Step 3: Cross multiply
    13,708.94x = 18,918.36 × 7,421.31
  4. Step 4: Simplify right side
    13,708.94x = 140,399,014.25
  5. Step 5: Solve for x
    x = 140,399,014.25/13,708.94
  6. Step 6: Final answer
    x = 10,241.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.