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Finding the Fourth Proportional to 6,189.92, 9,284.88 and 2,289.76

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Solution

The fourth proportional to 6,189.92, 9,284.88 and 2,289.76 is: 3,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.92 : 9,284.88 = 2,289.76 : x
  2. Step 2: Convert to fraction form
    6,189.92/9,284.88 = 2,289.76/x
  3. Step 3: Cross multiply
    6,189.92x = 9,284.88 × 2,289.76
  4. Step 4: Simplify right side
    6,189.92x = 21,260,146.83
  5. Step 5: Solve for x
    x = 21,260,146.83/6,189.92
  6. Step 6: Final answer
    x = 3,434.64

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Similar ratio
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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.