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Finding the Fourth Proportional to 5,383, 8,077.74 and 2,305

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Solution

The fourth proportional to 5,383, 8,077.74 and 2,305 is: 3,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 8,077.74 = 2,305 : x
  2. Step 2: Convert to fraction form
    5,383/8,077.74 = 2,305/x
  3. Step 3: Cross multiply
    5,383x = 8,077.74 × 2,305
  4. Step 4: Simplify right side
    5,383x = 18,619,190.70
  5. Step 5: Solve for x
    x = 18,619,190.70/5,383
  6. Step 6: Final answer
    x = 3,458.89

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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.