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Finding the Fourth Proportional to 7,984.74, 11,976.70 and 3,054

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Solution

The fourth proportional to 7,984.74, 11,976.70 and 3,054 is: 4,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.74 : 11,976.70 = 3,054 : x
  2. Step 2: Convert to fraction form
    7,984.74/11,976.70 = 3,054/x
  3. Step 3: Cross multiply
    7,984.74x = 11,976.70 × 3,054
  4. Step 4: Simplify right side
    7,984.74x = 36,576,841.80
  5. Step 5: Solve for x
    x = 36,576,841.80/7,984.74
  6. Step 6: Final answer
    x = 4,580.84

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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.