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Finding the Fourth Proportional to 18,745.10, 25,858 and 12,023.25

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Solution

The fourth proportional to 18,745.10, 25,858 and 12,023.25 is: 16,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,745.10 : 25,858 = 12,023.25 : x
  2. Step 2: Convert to fraction form
    18,745.10/25,858 = 12,023.25/x
  3. Step 3: Cross multiply
    18,745.10x = 25,858 × 12,023.25
  4. Step 4: Simplify right side
    18,745.10x = 310,897,198.50
  5. Step 5: Solve for x
    x = 310,897,198.50/18,745.10
  6. Step 6: Final answer
    x = 16,585.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.