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Finding the Fourth Proportional to 5,164.39, 7,734.26 and 2,820.89

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Solution

The fourth proportional to 5,164.39, 7,734.26 and 2,820.89 is: 4,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.39 : 7,734.26 = 2,820.89 : x
  2. Step 2: Convert to fraction form
    5,164.39/7,734.26 = 2,820.89/x
  3. Step 3: Cross multiply
    5,164.39x = 7,734.26 × 2,820.89
  4. Step 4: Simplify right side
    5,164.39x = 21,817,523.08
  5. Step 5: Solve for x
    x = 21,817,523.08/5,164.39
  6. Step 6: Final answer
    x = 4,224.61

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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.