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Finding the Fourth Proportional to 2,000.14, 3,000.26 and 539.30

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Solution

The fourth proportional to 2,000.14, 3,000.26 and 539.30 is: 808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.14 : 3,000.26 = 539.30 : x
  2. Step 2: Convert to fraction form
    2,000.14/3,000.26 = 539.30/x
  3. Step 3: Cross multiply
    2,000.14x = 3,000.26 × 539.30
  4. Step 4: Simplify right side
    2,000.14x = 1,618,040.22
  5. Step 5: Solve for x
    x = 1,618,040.22/2,000.14
  6. Step 6: Final answer
    x = 808.96

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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.