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Finding the Fourth Proportional to 8,042.88, 12,064.32 and 3,936

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Solution

The fourth proportional to 8,042.88, 12,064.32 and 3,936 is: 5,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.88 : 12,064.32 = 3,936 : x
  2. Step 2: Convert to fraction form
    8,042.88/12,064.32 = 3,936/x
  3. Step 3: Cross multiply
    8,042.88x = 12,064.32 × 3,936
  4. Step 4: Simplify right side
    8,042.88x = 47,485,163.52
  5. Step 5: Solve for x
    x = 47,485,163.52/8,042.88
  6. Step 6: Final answer
    x = 5,904.00

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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.