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Finding the Fourth Proportional to 4,920.82, 7,380.15 and 1,999.78

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Solution

The fourth proportional to 4,920.82, 7,380.15 and 1,999.78 is: 2,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.82 : 7,380.15 = 1,999.78 : x
  2. Step 2: Convert to fraction form
    4,920.82/7,380.15 = 1,999.78/x
  3. Step 3: Cross multiply
    4,920.82x = 7,380.15 × 1,999.78
  4. Step 4: Simplify right side
    4,920.82x = 14,758,676.37
  5. Step 5: Solve for x
    x = 14,758,676.37/4,920.82
  6. Step 6: Final answer
    x = 2,999.23

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1.5x scale

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.