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Finding the Fourth Proportional to 8,139, 12,208.61 and 2,592.33

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Solution

The fourth proportional to 8,139, 12,208.61 and 2,592.33 is: 3,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139 : 12,208.61 = 2,592.33 : x
  2. Step 2: Convert to fraction form
    8,139/12,208.61 = 2,592.33/x
  3. Step 3: Cross multiply
    8,139x = 12,208.61 × 2,592.33
  4. Step 4: Simplify right side
    8,139x = 31,648,745.96
  5. Step 5: Solve for x
    x = 31,648,745.96/8,139
  6. Step 6: Final answer
    x = 3,888.53

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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.