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Finding the Fourth Proportional to 12,186.56, 16,817.76 and 7,473.44

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Solution

The fourth proportional to 12,186.56, 16,817.76 and 7,473.44 is: 10,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.56 : 16,817.76 = 7,473.44 : x
  2. Step 2: Convert to fraction form
    12,186.56/16,817.76 = 7,473.44/x
  3. Step 3: Cross multiply
    12,186.56x = 16,817.76 × 7,473.44
  4. Step 4: Simplify right side
    12,186.56x = 125,686,520.29
  5. Step 5: Solve for x
    x = 125,686,520.29/12,186.56
  6. Step 6: Final answer
    x = 10,313.54

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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.