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Finding the Fourth Proportional to 3,178.05, 4,767.99 and 986.79

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Solution

The fourth proportional to 3,178.05, 4,767.99 and 986.79 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.05 : 4,767.99 = 986.79 : x
  2. Step 2: Convert to fraction form
    3,178.05/4,767.99 = 986.79/x
  3. Step 3: Cross multiply
    3,178.05x = 4,767.99 × 986.79
  4. Step 4: Simplify right side
    3,178.05x = 4,705,004.85
  5. Step 5: Solve for x
    x = 4,705,004.85/3,178.05
  6. Step 6: Final answer
    x = 1,480.47

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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.