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Finding the Fourth Proportional to 6,663, 9,994.50 and 1,799

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Solution

The fourth proportional to 6,663, 9,994.50 and 1,799 is: 2,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 9,994.50 = 1,799 : x
  2. Step 2: Convert to fraction form
    6,663/9,994.50 = 1,799/x
  3. Step 3: Cross multiply
    6,663x = 9,994.50 × 1,799
  4. Step 4: Simplify right side
    6,663x = 17,980,105.50
  5. Step 5: Solve for x
    x = 17,980,105.50/6,663
  6. Step 6: Final answer
    x = 2,698.50

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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.