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Finding the Fourth Proportional to 5,178, 7,145.82 and 2,939.97

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Solution

The fourth proportional to 5,178, 7,145.82 and 2,939.97 is: 4,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,145.82 = 2,939.97 : x
  2. Step 2: Convert to fraction form
    5,178/7,145.82 = 2,939.97/x
  3. Step 3: Cross multiply
    5,178x = 7,145.82 × 2,939.97
  4. Step 4: Simplify right side
    5,178x = 21,008,496.43
  5. Step 5: Solve for x
    x = 21,008,496.43/5,178
  6. Step 6: Final answer
    x = 4,057.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.