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Finding the Fourth Proportional to 7,980.54, 11,969.24 and 3,049

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Solution

The fourth proportional to 7,980.54, 11,969.24 and 3,049 is: 4,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.54 : 11,969.24 = 3,049 : x
  2. Step 2: Convert to fraction form
    7,980.54/11,969.24 = 3,049/x
  3. Step 3: Cross multiply
    7,980.54x = 11,969.24 × 3,049
  4. Step 4: Simplify right side
    7,980.54x = 36,494,212.76
  5. Step 5: Solve for x
    x = 36,494,212.76/7,980.54
  6. Step 6: Final answer
    x = 4,572.90

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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.