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Finding the Fourth Proportional to 1,999.82, 3,000.42 and 830.45

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Solution

The fourth proportional to 1,999.82, 3,000.42 and 830.45 is: 1,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.82 : 3,000.42 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,999.82/3,000.42 = 830.45/x
  3. Step 3: Cross multiply
    1,999.82x = 3,000.42 × 830.45
  4. Step 4: Simplify right side
    1,999.82x = 2,491,698.79
  5. Step 5: Solve for x
    x = 2,491,698.79/1,999.82
  6. Step 6: Final answer
    x = 1,245.96

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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.