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Finding the Fourth Proportional to 17,257.86, 25,855.50 and 7,905.70

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Solution

The fourth proportional to 17,257.86, 25,855.50 and 7,905.70 is: 11,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.86 : 25,855.50 = 7,905.70 : x
  2. Step 2: Convert to fraction form
    17,257.86/25,855.50 = 7,905.70/x
  3. Step 3: Cross multiply
    17,257.86x = 25,855.50 × 7,905.70
  4. Step 4: Simplify right side
    17,257.86x = 204,405,888.32
  5. Step 5: Solve for x
    x = 204,405,888.32/17,257.86
  6. Step 6: Final answer
    x = 11,844.22

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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.