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Finding the Fourth Proportional to 12,383.10, 18,577.44 and 6,146.55

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Solution

The fourth proportional to 12,383.10, 18,577.44 and 6,146.55 is: 9,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.10 : 18,577.44 = 6,146.55 : x
  2. Step 2: Convert to fraction form
    12,383.10/18,577.44 = 6,146.55/x
  3. Step 3: Cross multiply
    12,383.10x = 18,577.44 × 6,146.55
  4. Step 4: Simplify right side
    12,383.10x = 114,187,163.83
  5. Step 5: Solve for x
    x = 114,187,163.83/12,383.10
  6. Step 6: Final answer
    x = 9,221.21

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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.