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Finding the Fourth Proportional to 6,480.19, 8,942.72 and 3,685.87

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Solution

The fourth proportional to 6,480.19, 8,942.72 and 3,685.87 is: 5,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.19 : 8,942.72 = 3,685.87 : x
  2. Step 2: Convert to fraction form
    6,480.19/8,942.72 = 3,685.87/x
  3. Step 3: Cross multiply
    6,480.19x = 8,942.72 × 3,685.87
  4. Step 4: Simplify right side
    6,480.19x = 32,961,703.37
  5. Step 5: Solve for x
    x = 32,961,703.37/6,480.19
  6. Step 6: Final answer
    x = 5,086.53

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