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Finding the Fourth Proportional to 2,998.80, 4,498.40 and 2,449.80

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Solution

The fourth proportional to 2,998.80, 4,498.40 and 2,449.80 is: 3,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.80 : 4,498.40 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    2,998.80/4,498.40 = 2,449.80/x
  3. Step 3: Cross multiply
    2,998.80x = 4,498.40 × 2,449.80
  4. Step 4: Simplify right side
    2,998.80x = 11,020,180.32
  5. Step 5: Solve for x
    x = 11,020,180.32/2,998.80
  6. Step 6: Final answer
    x = 3,674.86

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1.5x scale

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.