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Finding the Fourth Proportional to 1,999.16, 2,998.72 and 1,381

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Solution

The fourth proportional to 1,999.16, 2,998.72 and 1,381 is: 2,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.16 : 2,998.72 = 1,381 : x
  2. Step 2: Convert to fraction form
    1,999.16/2,998.72 = 1,381/x
  3. Step 3: Cross multiply
    1,999.16x = 2,998.72 × 1,381
  4. Step 4: Simplify right side
    1,999.16x = 4,141,232.32
  5. Step 5: Solve for x
    x = 4,141,232.32/1,999.16
  6. Step 6: Final answer
    x = 2,071.49

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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.