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Finding the Fourth Proportional to 3,998.34, 5,998.68 and 2,051.90

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Solution

The fourth proportional to 3,998.34, 5,998.68 and 2,051.90 is: 3,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.34 : 5,998.68 = 2,051.90 : x
  2. Step 2: Convert to fraction form
    3,998.34/5,998.68 = 2,051.90/x
  3. Step 3: Cross multiply
    3,998.34x = 5,998.68 × 2,051.90
  4. Step 4: Simplify right side
    3,998.34x = 12,308,691.49
  5. Step 5: Solve for x
    x = 12,308,691.49/3,998.34
  6. Step 6: Final answer
    x = 3,078.45

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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.