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Finding the Fourth Proportional to 3,543.33, 4,889.79 and 1,971.42

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Solution

The fourth proportional to 3,543.33, 4,889.79 and 1,971.42 is: 2,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.33 : 4,889.79 = 1,971.42 : x
  2. Step 2: Convert to fraction form
    3,543.33/4,889.79 = 1,971.42/x
  3. Step 3: Cross multiply
    3,543.33x = 4,889.79 × 1,971.42
  4. Step 4: Simplify right side
    3,543.33x = 9,639,855.53
  5. Step 5: Solve for x
    x = 9,639,855.53/3,543.33
  6. Step 6: Final answer
    x = 2,720.56

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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.