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Finding the Fourth Proportional to 6,188.70, 9,284.40 and 1,805.80

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Solution

The fourth proportional to 6,188.70, 9,284.40 and 1,805.80 is: 2,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.70 : 9,284.40 = 1,805.80 : x
  2. Step 2: Convert to fraction form
    6,188.70/9,284.40 = 1,805.80/x
  3. Step 3: Cross multiply
    6,188.70x = 9,284.40 × 1,805.80
  4. Step 4: Simplify right side
    6,188.70x = 16,765,769.52
  5. Step 5: Solve for x
    x = 16,765,769.52/6,188.70
  6. Step 6: Final answer
    x = 2,709.09

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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.