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Finding the Fourth Proportional to 7,871.36, 11,803.89 and 3,485.84

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Solution

The fourth proportional to 7,871.36, 11,803.89 and 3,485.84 is: 5,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.36 : 11,803.89 = 3,485.84 : x
  2. Step 2: Convert to fraction form
    7,871.36/11,803.89 = 3,485.84/x
  3. Step 3: Cross multiply
    7,871.36x = 11,803.89 × 3,485.84
  4. Step 4: Simplify right side
    7,871.36x = 41,146,471.92
  5. Step 5: Solve for x
    x = 41,146,471.92/7,871.36
  6. Step 6: Final answer
    x = 5,227.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.