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Finding the Fourth Proportional to 8,001.88, 11,992.38 and 4,299.82

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Solution

The fourth proportional to 8,001.88, 11,992.38 and 4,299.82 is: 6,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.88 : 11,992.38 = 4,299.82 : x
  2. Step 2: Convert to fraction form
    8,001.88/11,992.38 = 4,299.82/x
  3. Step 3: Cross multiply
    8,001.88x = 11,992.38 × 4,299.82
  4. Step 4: Simplify right side
    8,001.88x = 51,565,075.37
  5. Step 5: Solve for x
    x = 51,565,075.37/8,001.88
  6. Step 6: Final answer
    x = 6,444.12

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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.