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Finding the Fourth Proportional to 5,209.83, 7,809.03 and 2,089.08

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Solution

The fourth proportional to 5,209.83, 7,809.03 and 2,089.08 is: 3,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.83 : 7,809.03 = 2,089.08 : x
  2. Step 2: Convert to fraction form
    5,209.83/7,809.03 = 2,089.08/x
  3. Step 3: Cross multiply
    5,209.83x = 7,809.03 × 2,089.08
  4. Step 4: Simplify right side
    5,209.83x = 16,313,688.39
  5. Step 5: Solve for x
    x = 16,313,688.39/5,209.83
  6. Step 6: Final answer
    x = 3,131.33

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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.