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Finding the Fourth Proportional to 12,584.78, 18,861.02 and 5,194.43

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Solution

The fourth proportional to 12,584.78, 18,861.02 and 5,194.43 is: 7,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.78 : 18,861.02 = 5,194.43 : x
  2. Step 2: Convert to fraction form
    12,584.78/18,861.02 = 5,194.43/x
  3. Step 3: Cross multiply
    12,584.78x = 18,861.02 × 5,194.43
  4. Step 4: Simplify right side
    12,584.78x = 97,972,127.84
  5. Step 5: Solve for x
    x = 97,972,127.84/12,584.78
  6. Step 6: Final answer
    x = 7,784.97

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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.