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Finding the Fourth Proportional to 27,928.16, 41,898.94 and 8,206.28

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Solution

The fourth proportional to 27,928.16, 41,898.94 and 8,206.28 is: 12,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.16 : 41,898.94 = 8,206.28 : x
  2. Step 2: Convert to fraction form
    27,928.16/41,898.94 = 8,206.28/x
  3. Step 3: Cross multiply
    27,928.16x = 41,898.94 × 8,206.28
  4. Step 4: Simplify right side
    27,928.16x = 343,834,433.34
  5. Step 5: Solve for x
    x = 343,834,433.34/27,928.16
  6. Step 6: Final answer
    x = 12,311.39

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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.