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Finding the Fourth Proportional to 11,595, 17,392.55 and 4,929.78

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Solution

The fourth proportional to 11,595, 17,392.55 and 4,929.78 is: 7,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595 : 17,392.55 = 4,929.78 : x
  2. Step 2: Convert to fraction form
    11,595/17,392.55 = 4,929.78/x
  3. Step 3: Cross multiply
    11,595x = 17,392.55 × 4,929.78
  4. Step 4: Simplify right side
    11,595x = 85,741,420.49
  5. Step 5: Solve for x
    x = 85,741,420.49/11,595
  6. Step 6: Final answer
    x = 7,394.69

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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.