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Finding the Fourth Proportional to 7,789.92, 11,679.64 and 3,627.60

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Solution

The fourth proportional to 7,789.92, 11,679.64 and 3,627.60 is: 5,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.92 : 11,679.64 = 3,627.60 : x
  2. Step 2: Convert to fraction form
    7,789.92/11,679.64 = 3,627.60/x
  3. Step 3: Cross multiply
    7,789.92x = 11,679.64 × 3,627.60
  4. Step 4: Simplify right side
    7,789.92x = 42,369,062.06
  5. Step 5: Solve for x
    x = 42,369,062.06/7,789.92
  6. Step 6: Final answer
    x = 5,438.96

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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.