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Finding the Fourth Proportional to 4,920, 7,382.28 and 2,285.82

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Solution

The fourth proportional to 4,920, 7,382.28 and 2,285.82 is: 3,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920 : 7,382.28 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    4,920/7,382.28 = 2,285.82/x
  3. Step 3: Cross multiply
    4,920x = 7,382.28 × 2,285.82
  4. Step 4: Simplify right side
    4,920x = 16,874,563.27
  5. Step 5: Solve for x
    x = 16,874,563.27/4,920
  6. Step 6: Final answer
    x = 3,429.79

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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.