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Finding the Fourth Proportional to 5,855.28, 8,078 and 3,613.26

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Solution

The fourth proportional to 5,855.28, 8,078 and 3,613.26 is: 4,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.28 : 8,078 = 3,613.26 : x
  2. Step 2: Convert to fraction form
    5,855.28/8,078 = 3,613.26/x
  3. Step 3: Cross multiply
    5,855.28x = 8,078 × 3,613.26
  4. Step 4: Simplify right side
    5,855.28x = 29,187,914.28
  5. Step 5: Solve for x
    x = 29,187,914.28/5,855.28
  6. Step 6: Final answer
    x = 4,984.89

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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.