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Finding the Fourth Proportional to 11,905.63, 17,861.42 and 8,402.48

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Solution

The fourth proportional to 11,905.63, 17,861.42 and 8,402.48 is: 12,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.63 : 17,861.42 = 8,402.48 : x
  2. Step 2: Convert to fraction form
    11,905.63/17,861.42 = 8,402.48/x
  3. Step 3: Cross multiply
    11,905.63x = 17,861.42 × 8,402.48
  4. Step 4: Simplify right side
    11,905.63x = 150,080,224.32
  5. Step 5: Solve for x
    x = 150,080,224.32/11,905.63
  6. Step 6: Final answer
    x = 12,605.82

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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.