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Finding the Fourth Proportional to 13,226, 19,840.08 and 3,992

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Solution

The fourth proportional to 13,226, 19,840.08 and 3,992 is: 5,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226 : 19,840.08 = 3,992 : x
  2. Step 2: Convert to fraction form
    13,226/19,840.08 = 3,992/x
  3. Step 3: Cross multiply
    13,226x = 19,840.08 × 3,992
  4. Step 4: Simplify right side
    13,226x = 79,201,599.36
  5. Step 5: Solve for x
    x = 79,201,599.36/13,226
  6. Step 6: Final answer
    x = 5,988.33

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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.