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Finding the Fourth Proportional to 28,682, 43,040.28 and 12,266

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Solution

The fourth proportional to 28,682, 43,040.28 and 12,266 is: 18,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,682 : 43,040.28 = 12,266 : x
  2. Step 2: Convert to fraction form
    28,682/43,040.28 = 12,266/x
  3. Step 3: Cross multiply
    28,682x = 43,040.28 × 12,266
  4. Step 4: Simplify right side
    28,682x = 527,932,074.48
  5. Step 5: Solve for x
    x = 527,932,074.48/28,682
  6. Step 6: Final answer
    x = 18,406.39

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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.