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Finding the Fourth Proportional to 1,978.94, 2,967.41 and 662.24

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Solution

The fourth proportional to 1,978.94, 2,967.41 and 662.24 is: 993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.94 : 2,967.41 = 662.24 : x
  2. Step 2: Convert to fraction form
    1,978.94/2,967.41 = 662.24/x
  3. Step 3: Cross multiply
    1,978.94x = 2,967.41 × 662.24
  4. Step 4: Simplify right side
    1,978.94x = 1,965,146.67
  5. Step 5: Solve for x
    x = 1,965,146.67/1,978.94
  6. Step 6: Final answer
    x = 993.03

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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.