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Finding the Fourth Proportional to 13,992.40, 20,995.98 and 6,202

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Solution

The fourth proportional to 13,992.40, 20,995.98 and 6,202 is: 9,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.40 : 20,995.98 = 6,202 : x
  2. Step 2: Convert to fraction form
    13,992.40/20,995.98 = 6,202/x
  3. Step 3: Cross multiply
    13,992.40x = 20,995.98 × 6,202
  4. Step 4: Simplify right side
    13,992.40x = 130,217,067.96
  5. Step 5: Solve for x
    x = 130,217,067.96/13,992.40
  6. Step 6: Final answer
    x = 9,306.27

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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.