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Finding the Fourth Proportional to 18,539.86, 27,809.55 and 4,500

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Solution

The fourth proportional to 18,539.86, 27,809.55 and 4,500 is: 6,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.86 : 27,809.55 = 4,500 : x
  2. Step 2: Convert to fraction form
    18,539.86/27,809.55 = 4,500/x
  3. Step 3: Cross multiply
    18,539.86x = 27,809.55 × 4,500
  4. Step 4: Simplify right side
    18,539.86x = 125,142,975
  5. Step 5: Solve for x
    x = 125,142,975/18,539.86
  6. Step 6: Final answer
    x = 6,749.94

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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.