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Finding the Fourth Proportional to 2,968.60, 4,449.90 and 1,992.44

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Solution

The fourth proportional to 2,968.60, 4,449.90 and 1,992.44 is: 2,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.60 : 4,449.90 = 1,992.44 : x
  2. Step 2: Convert to fraction form
    2,968.60/4,449.90 = 1,992.44/x
  3. Step 3: Cross multiply
    2,968.60x = 4,449.90 × 1,992.44
  4. Step 4: Simplify right side
    2,968.60x = 8,866,158.76
  5. Step 5: Solve for x
    x = 8,866,158.76/2,968.60
  6. Step 6: Final answer
    x = 2,986.65

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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.