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Finding the Fourth Proportional to 8,238.70, 12,364.26 and 7,082.02

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Solution

The fourth proportional to 8,238.70, 12,364.26 and 7,082.02 is: 10,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.70 : 12,364.26 = 7,082.02 : x
  2. Step 2: Convert to fraction form
    8,238.70/12,364.26 = 7,082.02/x
  3. Step 3: Cross multiply
    8,238.70x = 12,364.26 × 7,082.02
  4. Step 4: Simplify right side
    8,238.70x = 87,563,936.61
  5. Step 5: Solve for x
    x = 87,563,936.61/8,238.70
  6. Step 6: Final answer
    x = 10,628.37

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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.