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Finding the Fourth Proportional to 8,406, 11,600.33 and 4,680

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Solution

The fourth proportional to 8,406, 11,600.33 and 4,680 is: 6,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 11,600.33 = 4,680 : x
  2. Step 2: Convert to fraction form
    8,406/11,600.33 = 4,680/x
  3. Step 3: Cross multiply
    8,406x = 11,600.33 × 4,680
  4. Step 4: Simplify right side
    8,406x = 54,289,544.40
  5. Step 5: Solve for x
    x = 54,289,544.40/8,406
  6. Step 6: Final answer
    x = 6,458.43

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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.