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Finding the Fourth Proportional to 1,999.96, 2,984.51 and 1,781.80

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Solution

The fourth proportional to 1,999.96, 2,984.51 and 1,781.80 is: 2,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.96 : 2,984.51 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    1,999.96/2,984.51 = 1,781.80/x
  3. Step 3: Cross multiply
    1,999.96x = 2,984.51 × 1,781.80
  4. Step 4: Simplify right side
    1,999.96x = 5,317,799.92
  5. Step 5: Solve for x
    x = 5,317,799.92/1,999.96
  6. Step 6: Final answer
    x = 2,658.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.