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Finding the Fourth Proportional to 3,189.60, 4,774.80 and 2,805.60

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Solution

The fourth proportional to 3,189.60, 4,774.80 and 2,805.60 is: 4,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.60 : 4,774.80 = 2,805.60 : x
  2. Step 2: Convert to fraction form
    3,189.60/4,774.80 = 2,805.60/x
  3. Step 3: Cross multiply
    3,189.60x = 4,774.80 × 2,805.60
  4. Step 4: Simplify right side
    3,189.60x = 13,396,178.88
  5. Step 5: Solve for x
    x = 13,396,178.88/3,189.60
  6. Step 6: Final answer
    x = 4,199.96

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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.