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Finding the Fourth Proportional to 6,186.57, 8,539.79 and 3,828.25

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Solution

The fourth proportional to 6,186.57, 8,539.79 and 3,828.25 is: 5,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.57 : 8,539.79 = 3,828.25 : x
  2. Step 2: Convert to fraction form
    6,186.57/8,539.79 = 3,828.25/x
  3. Step 3: Cross multiply
    6,186.57x = 8,539.79 × 3,828.25
  4. Step 4: Simplify right side
    6,186.57x = 32,692,451.07
  5. Step 5: Solve for x
    x = 32,692,451.07/6,186.57
  6. Step 6: Final answer
    x = 5,284.42

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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.