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Finding the Fourth Proportional to 2,994.80, 4,489.12 and 1,045.68

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Solution

The fourth proportional to 2,994.80, 4,489.12 and 1,045.68 is: 1,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.80 : 4,489.12 = 1,045.68 : x
  2. Step 2: Convert to fraction form
    2,994.80/4,489.12 = 1,045.68/x
  3. Step 3: Cross multiply
    2,994.80x = 4,489.12 × 1,045.68
  4. Step 4: Simplify right side
    2,994.80x = 4,694,183.00
  5. Step 5: Solve for x
    x = 4,694,183.00/2,994.80
  6. Step 6: Final answer
    x = 1,567.44

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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.