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Finding the Fourth Proportional to 7,978.08, 11,958.48 and 5,206.80

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Solution

The fourth proportional to 7,978.08, 11,958.48 and 5,206.80 is: 7,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.08 : 11,958.48 = 5,206.80 : x
  2. Step 2: Convert to fraction form
    7,978.08/11,958.48 = 5,206.80/x
  3. Step 3: Cross multiply
    7,978.08x = 11,958.48 × 5,206.80
  4. Step 4: Simplify right side
    7,978.08x = 62,265,413.66
  5. Step 5: Solve for x
    x = 62,265,413.66/7,978.08
  6. Step 6: Final answer
    x = 7,804.56

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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.