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Finding the Fourth Proportional to 5,236.35, 7,845.18 and 2,765.65

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Solution

The fourth proportional to 5,236.35, 7,845.18 and 2,765.65 is: 4,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.35 : 7,845.18 = 2,765.65 : x
  2. Step 2: Convert to fraction form
    5,236.35/7,845.18 = 2,765.65/x
  3. Step 3: Cross multiply
    5,236.35x = 7,845.18 × 2,765.65
  4. Step 4: Simplify right side
    5,236.35x = 21,697,022.07
  5. Step 5: Solve for x
    x = 21,697,022.07/5,236.35
  6. Step 6: Final answer
    x = 4,143.54

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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.