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Finding the Fourth Proportional to 9,959, 13,743.42 and 5,543

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Solution

The fourth proportional to 9,959, 13,743.42 and 5,543 is: 7,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959 : 13,743.42 = 5,543 : x
  2. Step 2: Convert to fraction form
    9,959/13,743.42 = 5,543/x
  3. Step 3: Cross multiply
    9,959x = 13,743.42 × 5,543
  4. Step 4: Simplify right side
    9,959x = 76,179,777.06
  5. Step 5: Solve for x
    x = 76,179,777.06/9,959
  6. Step 6: Final answer
    x = 7,649.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.