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Finding the Fourth Proportional to 12,018, 18,027.00 and 5,774.12

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Solution

The fourth proportional to 12,018, 18,027.00 and 5,774.12 is: 8,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018 : 18,027.00 = 5,774.12 : x
  2. Step 2: Convert to fraction form
    12,018/18,027.00 = 5,774.12/x
  3. Step 3: Cross multiply
    12,018x = 18,027.00 × 5,774.12
  4. Step 4: Simplify right side
    12,018x = 104,089,942.23
  5. Step 5: Solve for x
    x = 104,089,942.23/12,018
  6. Step 6: Final answer
    x = 8,661.17

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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.