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Finding the Fourth Proportional to 6,202.76, 8,558.50 and 3,683.97

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Solution

The fourth proportional to 6,202.76, 8,558.50 and 3,683.97 is: 5,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.76 : 8,558.50 = 3,683.97 : x
  2. Step 2: Convert to fraction form
    6,202.76/8,558.50 = 3,683.97/x
  3. Step 3: Cross multiply
    6,202.76x = 8,558.50 × 3,683.97
  4. Step 4: Simplify right side
    6,202.76x = 31,529,257.25
  5. Step 5: Solve for x
    x = 31,529,257.25/6,202.76
  6. Step 6: Final answer
    x = 5,083.10

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Half scale
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Double scale
Find fourth proportional to 6,203.76, 8,559.88 and 3,684.97
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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.