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Finding the Fourth Proportional to 3,936.84, 5,905.64 and 1,987.80

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Solution

The fourth proportional to 3,936.84, 5,905.64 and 1,987.80 is: 2,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.84 : 5,905.64 = 1,987.80 : x
  2. Step 2: Convert to fraction form
    3,936.84/5,905.64 = 1,987.80/x
  3. Step 3: Cross multiply
    3,936.84x = 5,905.64 × 1,987.80
  4. Step 4: Simplify right side
    3,936.84x = 11,739,231.19
  5. Step 5: Solve for x
    x = 11,739,231.19/3,936.84
  6. Step 6: Final answer
    x = 2,981.89

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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.