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Finding the Fourth Proportional to 2,000.49, 3,000.92 and 519.71

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Solution

The fourth proportional to 2,000.49, 3,000.92 and 519.71 is: 779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.49 : 3,000.92 = 519.71 : x
  2. Step 2: Convert to fraction form
    2,000.49/3,000.92 = 519.71/x
  3. Step 3: Cross multiply
    2,000.49x = 3,000.92 × 519.71
  4. Step 4: Simplify right side
    2,000.49x = 1,559,590.53
  5. Step 5: Solve for x
    x = 1,559,590.53/2,000.49
  6. Step 6: Final answer
    x = 779.61

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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.