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Finding the Fourth Proportional to 7,866.86, 11,797.25 and 3,185.66

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Solution

The fourth proportional to 7,866.86, 11,797.25 and 3,185.66 is: 4,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.86 : 11,797.25 = 3,185.66 : x
  2. Step 2: Convert to fraction form
    7,866.86/11,797.25 = 3,185.66/x
  3. Step 3: Cross multiply
    7,866.86x = 11,797.25 × 3,185.66
  4. Step 4: Simplify right side
    7,866.86x = 37,582,041.00
  5. Step 5: Solve for x
    x = 37,582,041.00/7,866.86
  6. Step 6: Final answer
    x = 4,777.26

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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.