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Finding the Fourth Proportional to 1,998.45, 3,001.93 and 1,218.83

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Solution

The fourth proportional to 1,998.45, 3,001.93 and 1,218.83 is: 1,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.45 : 3,001.93 = 1,218.83 : x
  2. Step 2: Convert to fraction form
    1,998.45/3,001.93 = 1,218.83/x
  3. Step 3: Cross multiply
    1,998.45x = 3,001.93 × 1,218.83
  4. Step 4: Simplify right side
    1,998.45x = 3,658,824.29
  5. Step 5: Solve for x
    x = 3,658,824.29/1,998.45
  6. Step 6: Final answer
    x = 1,830.83

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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.