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Finding the Fourth Proportional to 21,194, 31,791 and 6,602

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Solution

The fourth proportional to 21,194, 31,791 and 6,602 is: 9,903

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 31,791 = 6,602 : x
  2. Step 2: Convert to fraction form
    21,194/31,791 = 6,602/x
  3. Step 3: Cross multiply
    21,194x = 31,791 × 6,602
  4. Step 4: Simplify right side
    21,194x = 209,884,182
  5. Step 5: Solve for x
    x = 209,884,182/21,194
  6. Step 6: Final answer
    x = 9,903

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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.