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Finding the Fourth Proportional to 1,979.34, 2,968.98 and 825.09

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Solution

The fourth proportional to 1,979.34, 2,968.98 and 825.09 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.34 : 2,968.98 = 825.09 : x
  2. Step 2: Convert to fraction form
    1,979.34/2,968.98 = 825.09/x
  3. Step 3: Cross multiply
    1,979.34x = 2,968.98 × 825.09
  4. Step 4: Simplify right side
    1,979.34x = 2,449,675.71
  5. Step 5: Solve for x
    x = 2,449,675.71/1,979.34
  6. Step 6: Final answer
    x = 1,237.62

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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.