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Finding the Fourth Proportional to 17,975, 26,978.76 and 9,215.96

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Solution

The fourth proportional to 17,975, 26,978.76 and 9,215.96 is: 13,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975 : 26,978.76 = 9,215.96 : x
  2. Step 2: Convert to fraction form
    17,975/26,978.76 = 9,215.96/x
  3. Step 3: Cross multiply
    17,975x = 26,978.76 × 9,215.96
  4. Step 4: Simplify right side
    17,975x = 248,635,173.01
  5. Step 5: Solve for x
    x = 248,635,173.01/17,975
  6. Step 6: Final answer
    x = 13,832.28

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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.