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Finding the Fourth Proportional to 21,194.75, 31,797.80 and 7,343.75

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Solution

The fourth proportional to 21,194.75, 31,797.80 and 7,343.75 is: 11,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.75 : 31,797.80 = 7,343.75 : x
  2. Step 2: Convert to fraction form
    21,194.75/31,797.80 = 7,343.75/x
  3. Step 3: Cross multiply
    21,194.75x = 31,797.80 × 7,343.75
  4. Step 4: Simplify right side
    21,194.75x = 233,515,093.75
  5. Step 5: Solve for x
    x = 233,515,093.75/21,194.75
  6. Step 6: Final answer
    x = 11,017.59

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1.5x scale

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.