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Finding the Fourth Proportional to 3,853.44, 5,782.19 and 3,784.77

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Solution

The fourth proportional to 3,853.44, 5,782.19 and 3,784.77 is: 5,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.44 : 5,782.19 = 3,784.77 : x
  2. Step 2: Convert to fraction form
    3,853.44/5,782.19 = 3,784.77/x
  3. Step 3: Cross multiply
    3,853.44x = 5,782.19 × 3,784.77
  4. Step 4: Simplify right side
    3,853.44x = 21,884,240.32
  5. Step 5: Solve for x
    x = 21,884,240.32/3,853.44
  6. Step 6: Final answer
    x = 5,679.14

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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.