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Finding the Fourth Proportional to 7,978.12, 11,964.74 and 4,512.94

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Solution

The fourth proportional to 7,978.12, 11,964.74 and 4,512.94 is: 6,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.12 : 11,964.74 = 4,512.94 : x
  2. Step 2: Convert to fraction form
    7,978.12/11,964.74 = 4,512.94/x
  3. Step 3: Cross multiply
    7,978.12x = 11,964.74 × 4,512.94
  4. Step 4: Simplify right side
    7,978.12x = 53,996,101.26
  5. Step 5: Solve for x
    x = 53,996,101.26/7,978.12
  6. Step 6: Final answer
    x = 6,768.03

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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.