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Finding the Fourth Proportional to 18,559, 27,768.75 and 13,023.15

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Solution

The fourth proportional to 18,559, 27,768.75 and 13,023.15 is: 19,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,559 : 27,768.75 = 13,023.15 : x
  2. Step 2: Convert to fraction form
    18,559/27,768.75 = 13,023.15/x
  3. Step 3: Cross multiply
    18,559x = 27,768.75 × 13,023.15
  4. Step 4: Simplify right side
    18,559x = 361,636,596.56
  5. Step 5: Solve for x
    x = 361,636,596.56/18,559
  6. Step 6: Final answer
    x = 19,485.78

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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.