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Finding the Fourth Proportional to 13,986.65, 20,980.11 and 3,991.39

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Solution

The fourth proportional to 13,986.65, 20,980.11 and 3,991.39 is: 5,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.65 : 20,980.11 = 3,991.39 : x
  2. Step 2: Convert to fraction form
    13,986.65/20,980.11 = 3,991.39/x
  3. Step 3: Cross multiply
    13,986.65x = 20,980.11 × 3,991.39
  4. Step 4: Simplify right side
    13,986.65x = 83,739,696.35
  5. Step 5: Solve for x
    x = 83,739,696.35/13,986.65
  6. Step 6: Final answer
    x = 5,987.12

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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.