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Finding the Fourth Proportional to 2,998.81, 4,498.03 and 918.62

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Solution

The fourth proportional to 2,998.81, 4,498.03 and 918.62 is: 1,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.81 : 4,498.03 = 918.62 : x
  2. Step 2: Convert to fraction form
    2,998.81/4,498.03 = 918.62/x
  3. Step 3: Cross multiply
    2,998.81x = 4,498.03 × 918.62
  4. Step 4: Simplify right side
    2,998.81x = 4,131,970.68
  5. Step 5: Solve for x
    x = 4,131,970.68/2,998.81
  6. Step 6: Final answer
    x = 1,377.87

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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.