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Finding the Fourth Proportional to 1,999.38, 3,000.39 and 700.82

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Solution

The fourth proportional to 1,999.38, 3,000.39 and 700.82 is: 1,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.38 : 3,000.39 = 700.82 : x
  2. Step 2: Convert to fraction form
    1,999.38/3,000.39 = 700.82/x
  3. Step 3: Cross multiply
    1,999.38x = 3,000.39 × 700.82
  4. Step 4: Simplify right side
    1,999.38x = 2,102,714.81
  5. Step 5: Solve for x
    x = 2,102,714.81/1,999.38
  6. Step 6: Final answer
    x = 1,051.68

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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.