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Finding the Fourth Proportional to 18,129.22, 27,190.74 and 4,978.51

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Solution

The fourth proportional to 18,129.22, 27,190.74 and 4,978.51 is: 7,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.22 : 27,190.74 = 4,978.51 : x
  2. Step 2: Convert to fraction form
    18,129.22/27,190.74 = 4,978.51/x
  3. Step 3: Cross multiply
    18,129.22x = 27,190.74 × 4,978.51
  4. Step 4: Simplify right side
    18,129.22x = 135,369,371.00
  5. Step 5: Solve for x
    x = 135,369,371.00/18,129.22
  6. Step 6: Final answer
    x = 7,466.92

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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.