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Finding the Fourth Proportional to 21,194, 31,796.67 and 7,343

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Solution

The fourth proportional to 21,194, 31,796.67 and 7,343 is: 11,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 31,796.67 = 7,343 : x
  2. Step 2: Convert to fraction form
    21,194/31,796.67 = 7,343/x
  3. Step 3: Cross multiply
    21,194x = 31,796.67 × 7,343
  4. Step 4: Simplify right side
    21,194x = 233,482,947.81
  5. Step 5: Solve for x
    x = 233,482,947.81/21,194
  6. Step 6: Final answer
    x = 11,016.46

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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.