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Finding the Fourth Proportional to 1,998.84, 2,999.82 and 1,386.86

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Solution

The fourth proportional to 1,998.84, 2,999.82 and 1,386.86 is: 2,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 2,999.82 = 1,386.86 : x
  2. Step 2: Convert to fraction form
    1,998.84/2,999.82 = 1,386.86/x
  3. Step 3: Cross multiply
    1,998.84x = 2,999.82 × 1,386.86
  4. Step 4: Simplify right side
    1,998.84x = 4,160,315.37
  5. Step 5: Solve for x
    x = 4,160,315.37/1,998.84
  6. Step 6: Final answer
    x = 2,081.36

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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.