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Finding the Fourth Proportional to 7,978.36, 11,969.94 and 3,048.12

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Solution

The fourth proportional to 7,978.36, 11,969.94 and 3,048.12 is: 4,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.36 : 11,969.94 = 3,048.12 : x
  2. Step 2: Convert to fraction form
    7,978.36/11,969.94 = 3,048.12/x
  3. Step 3: Cross multiply
    7,978.36x = 11,969.94 × 3,048.12
  4. Step 4: Simplify right side
    7,978.36x = 36,485,813.51
  5. Step 5: Solve for x
    x = 36,485,813.51/7,978.36
  6. Step 6: Final answer
    x = 4,573.10

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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.