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Finding the Fourth Proportional to 3,782.70, 5,670.36 and 1,316.97

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Solution

The fourth proportional to 3,782.70, 5,670.36 and 1,316.97 is: 1,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.70 : 5,670.36 = 1,316.97 : x
  2. Step 2: Convert to fraction form
    3,782.70/5,670.36 = 1,316.97/x
  3. Step 3: Cross multiply
    3,782.70x = 5,670.36 × 1,316.97
  4. Step 4: Simplify right side
    3,782.70x = 7,467,694.01
  5. Step 5: Solve for x
    x = 7,467,694.01/3,782.70
  6. Step 6: Final answer
    x = 1,974.17

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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.