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Finding the Fourth Proportional to 6,543.96, 9,817.42 and 2,161.88

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Solution

The fourth proportional to 6,543.96, 9,817.42 and 2,161.88 is: 3,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.96 : 9,817.42 = 2,161.88 : x
  2. Step 2: Convert to fraction form
    6,543.96/9,817.42 = 2,161.88/x
  3. Step 3: Cross multiply
    6,543.96x = 9,817.42 × 2,161.88
  4. Step 4: Simplify right side
    6,543.96x = 21,224,083.95
  5. Step 5: Solve for x
    x = 21,224,083.95/6,543.96
  6. Step 6: Final answer
    x = 3,243.31

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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.