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Finding the Fourth Proportional to 12,861.54, 17,743.70 and 8,383.72

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Solution

The fourth proportional to 12,861.54, 17,743.70 and 8,383.72 is: 11,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.54 : 17,743.70 = 8,383.72 : x
  2. Step 2: Convert to fraction form
    12,861.54/17,743.70 = 8,383.72/x
  3. Step 3: Cross multiply
    12,861.54x = 17,743.70 × 8,383.72
  4. Step 4: Simplify right side
    12,861.54x = 148,758,212.56
  5. Step 5: Solve for x
    x = 148,758,212.56/12,861.54
  6. Step 6: Final answer
    x = 11,566.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.