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Finding the Fourth Proportional to 3,782.40, 5,646 and 3,504.44

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Solution

The fourth proportional to 3,782.40, 5,646 and 3,504.44 is: 5,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.40 : 5,646 = 3,504.44 : x
  2. Step 2: Convert to fraction form
    3,782.40/5,646 = 3,504.44/x
  3. Step 3: Cross multiply
    3,782.40x = 5,646 × 3,504.44
  4. Step 4: Simplify right side
    3,782.40x = 19,786,068.24
  5. Step 5: Solve for x
    x = 19,786,068.24/3,782.40
  6. Step 6: Final answer
    x = 5,231.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.