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Finding the Fourth Proportional to 6,611, 9,918.12 and 1,994

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Solution

The fourth proportional to 6,611, 9,918.12 and 1,994 is: 2,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611 : 9,918.12 = 1,994 : x
  2. Step 2: Convert to fraction form
    6,611/9,918.12 = 1,994/x
  3. Step 3: Cross multiply
    6,611x = 9,918.12 × 1,994
  4. Step 4: Simplify right side
    6,611x = 19,776,731.28
  5. Step 5: Solve for x
    x = 19,776,731.28/6,611
  6. Step 6: Final answer
    x = 2,991.49

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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.