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Finding the Fourth Proportional to 3,855.63, 5,786.69 and 3,090.99

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Solution

The fourth proportional to 3,855.63, 5,786.69 and 3,090.99 is: 4,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.63 : 5,786.69 = 3,090.99 : x
  2. Step 2: Convert to fraction form
    3,855.63/5,786.69 = 3,090.99/x
  3. Step 3: Cross multiply
    3,855.63x = 5,786.69 × 3,090.99
  4. Step 4: Simplify right side
    3,855.63x = 17,886,585.47
  5. Step 5: Solve for x
    x = 17,886,585.47/3,855.63
  6. Step 6: Final answer
    x = 4,639.08

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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.