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Finding the Fourth Proportional to 18,128.70, 27,189.99 and 4,978.02

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Solution

The fourth proportional to 18,128.70, 27,189.99 and 4,978.02 is: 7,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,128.70 : 27,189.99 = 4,978.02 : x
  2. Step 2: Convert to fraction form
    18,128.70/27,189.99 = 4,978.02/x
  3. Step 3: Cross multiply
    18,128.70x = 27,189.99 × 4,978.02
  4. Step 4: Simplify right side
    18,128.70x = 135,352,314.02
  5. Step 5: Solve for x
    x = 135,352,314.02/18,128.70
  6. Step 6: Final answer
    x = 7,466.19

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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.