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Finding the Fourth Proportional to 5,221.87, 7,206.68 and 2,984.09

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Solution

The fourth proportional to 5,221.87, 7,206.68 and 2,984.09 is: 4,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.87 : 7,206.68 = 2,984.09 : x
  2. Step 2: Convert to fraction form
    5,221.87/7,206.68 = 2,984.09/x
  3. Step 3: Cross multiply
    5,221.87x = 7,206.68 × 2,984.09
  4. Step 4: Simplify right side
    5,221.87x = 21,505,353.15
  5. Step 5: Solve for x
    x = 21,505,353.15/5,221.87
  6. Step 6: Final answer
    x = 4,118.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.