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Finding the Fourth Proportional to 11,855.90, 17,784.87 and 3,090.81

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Solution

The fourth proportional to 11,855.90, 17,784.87 and 3,090.81 is: 4,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.90 : 17,784.87 = 3,090.81 : x
  2. Step 2: Convert to fraction form
    11,855.90/17,784.87 = 3,090.81/x
  3. Step 3: Cross multiply
    11,855.90x = 17,784.87 × 3,090.81
  4. Step 4: Simplify right side
    11,855.90x = 54,969,654.04
  5. Step 5: Solve for x
    x = 54,969,654.04/11,855.90
  6. Step 6: Final answer
    x = 4,636.48

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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.