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Finding the Fourth Proportional to 19,305, 28,961.82 and 6,824.88

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Solution

The fourth proportional to 19,305, 28,961.82 and 6,824.88 is: 10,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 28,961.82 = 6,824.88 : x
  2. Step 2: Convert to fraction form
    19,305/28,961.82 = 6,824.88/x
  3. Step 3: Cross multiply
    19,305x = 28,961.82 × 6,824.88
  4. Step 4: Simplify right side
    19,305x = 197,660,946.08
  5. Step 5: Solve for x
    x = 197,660,946.08/19,305
  6. Step 6: Final answer
    x = 10,238.85

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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.