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Finding the Fourth Proportional to 12,159, 18,231.21 and 4,754.64

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Solution

The fourth proportional to 12,159, 18,231.21 and 4,754.64 is: 7,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 18,231.21 = 4,754.64 : x
  2. Step 2: Convert to fraction form
    12,159/18,231.21 = 4,754.64/x
  3. Step 3: Cross multiply
    12,159x = 18,231.21 × 4,754.64
  4. Step 4: Simplify right side
    12,159x = 86,682,840.31
  5. Step 5: Solve for x
    x = 86,682,840.31/12,159
  6. Step 6: Final answer
    x = 7,129.11

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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.