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Finding the Fourth Proportional to 5,842.87, 8,062.84 and 3,190.22

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Solution

The fourth proportional to 5,842.87, 8,062.84 and 3,190.22 is: 4,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.87 : 8,062.84 = 3,190.22 : x
  2. Step 2: Convert to fraction form
    5,842.87/8,062.84 = 3,190.22/x
  3. Step 3: Cross multiply
    5,842.87x = 8,062.84 × 3,190.22
  4. Step 4: Simplify right side
    5,842.87x = 25,722,185.14
  5. Step 5: Solve for x
    x = 25,722,185.14/5,842.87
  6. Step 6: Final answer
    x = 4,402.32

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Double scale
Find fourth proportional to 5,843.87, 8,064.22 and 3,191.22
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1.5x scale

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.