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Finding the Fourth Proportional to 2,933.86, 4,401.44 and 986

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Solution

The fourth proportional to 2,933.86, 4,401.44 and 986 is: 1,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.86 : 4,401.44 = 986 : x
  2. Step 2: Convert to fraction form
    2,933.86/4,401.44 = 986/x
  3. Step 3: Cross multiply
    2,933.86x = 4,401.44 × 986
  4. Step 4: Simplify right side
    2,933.86x = 4,339,814.91
  5. Step 5: Solve for x
    x = 4,339,814.91/2,933.86
  6. Step 6: Final answer
    x = 1,479.22

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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.