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Finding the Fourth Proportional to 5,209.91, 7,809.39 and 1,920.90

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Solution

The fourth proportional to 5,209.91, 7,809.39 and 1,920.90 is: 2,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.91 : 7,809.39 = 1,920.90 : x
  2. Step 2: Convert to fraction form
    5,209.91/7,809.39 = 1,920.90/x
  3. Step 3: Cross multiply
    5,209.91x = 7,809.39 × 1,920.90
  4. Step 4: Simplify right side
    5,209.91x = 15,001,057.25
  5. Step 5: Solve for x
    x = 15,001,057.25/5,209.91
  6. Step 6: Final answer
    x = 2,879.33

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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.