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Finding the Fourth Proportional to 5,858, 8,081.60 and 3,840.84

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Solution

The fourth proportional to 5,858, 8,081.60 and 3,840.84 is: 5,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858 : 8,081.60 = 3,840.84 : x
  2. Step 2: Convert to fraction form
    5,858/8,081.60 = 3,840.84/x
  3. Step 3: Cross multiply
    5,858x = 8,081.60 × 3,840.84
  4. Step 4: Simplify right side
    5,858x = 31,040,132.54
  5. Step 5: Solve for x
    x = 31,040,132.54/5,858
  6. Step 6: Final answer
    x = 5,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.