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Finding the Fourth Proportional to 7,985.56, 11,978.82 and 3,367

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Solution

The fourth proportional to 7,985.56, 11,978.82 and 3,367 is: 5,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.56 : 11,978.82 = 3,367 : x
  2. Step 2: Convert to fraction form
    7,985.56/11,978.82 = 3,367/x
  3. Step 3: Cross multiply
    7,985.56x = 11,978.82 × 3,367
  4. Step 4: Simplify right side
    7,985.56x = 40,332,686.94
  5. Step 5: Solve for x
    x = 40,332,686.94/7,985.56
  6. Step 6: Final answer
    x = 5,050.70

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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.