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Finding the Fourth Proportional to 11,595, 17,392.50 and 5,439

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Solution

The fourth proportional to 11,595, 17,392.50 and 5,439 is: 8,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595 : 17,392.50 = 5,439 : x
  2. Step 2: Convert to fraction form
    11,595/17,392.50 = 5,439/x
  3. Step 3: Cross multiply
    11,595x = 17,392.50 × 5,439
  4. Step 4: Simplify right side
    11,595x = 94,597,807.50
  5. Step 5: Solve for x
    x = 94,597,807.50/11,595
  6. Step 6: Final answer
    x = 8,158.50

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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.