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Finding the Fourth Proportional to 17,978.96, 26,953.32 and 7,589.36

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Solution

The fourth proportional to 17,978.96, 26,953.32 and 7,589.36 is: 11,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.96 : 26,953.32 = 7,589.36 : x
  2. Step 2: Convert to fraction form
    17,978.96/26,953.32 = 7,589.36/x
  3. Step 3: Cross multiply
    17,978.96x = 26,953.32 × 7,589.36
  4. Step 4: Simplify right side
    17,978.96x = 204,558,448.68
  5. Step 5: Solve for x
    x = 204,558,448.68/17,978.96
  6. Step 6: Final answer
    x = 11,377.66

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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.