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Finding the Fourth Proportional to 18,353.86, 27,527.31 and 7,821.90

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Solution

The fourth proportional to 18,353.86, 27,527.31 and 7,821.90 is: 11,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,353.86 : 27,527.31 = 7,821.90 : x
  2. Step 2: Convert to fraction form
    18,353.86/27,527.31 = 7,821.90/x
  3. Step 3: Cross multiply
    18,353.86x = 27,527.31 × 7,821.90
  4. Step 4: Simplify right side
    18,353.86x = 215,315,866.09
  5. Step 5: Solve for x
    x = 215,315,866.09/18,353.86
  6. Step 6: Final answer
    x = 11,731.37

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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.