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Finding the Fourth Proportional to 17,456, 26,188.80 and 5,144

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Solution

The fourth proportional to 17,456, 26,188.80 and 5,144 is: 7,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456 : 26,188.80 = 5,144 : x
  2. Step 2: Convert to fraction form
    17,456/26,188.80 = 5,144/x
  3. Step 3: Cross multiply
    17,456x = 26,188.80 × 5,144
  4. Step 4: Simplify right side
    17,456x = 134,715,187.20
  5. Step 5: Solve for x
    x = 134,715,187.20/17,456
  6. Step 6: Final answer
    x = 7,717.41

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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.