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Finding the Fourth Proportional to 43,530, 65,295.72 and 18,906

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Solution

The fourth proportional to 43,530, 65,295.72 and 18,906 is: 28,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,530 : 65,295.72 = 18,906 : x
  2. Step 2: Convert to fraction form
    43,530/65,295.72 = 18,906/x
  3. Step 3: Cross multiply
    43,530x = 65,295.72 × 18,906
  4. Step 4: Simplify right side
    43,530x = 1,234,480,882.32
  5. Step 5: Solve for x
    x = 1,234,480,882.32/43,530
  6. Step 6: Final answer
    x = 28,359.31

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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.