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Finding the Fourth Proportional to 2,889.75, 3,988.36 and 1,711.39

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Solution

The fourth proportional to 2,889.75, 3,988.36 and 1,711.39 is: 2,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.75 : 3,988.36 = 1,711.39 : x
  2. Step 2: Convert to fraction form
    2,889.75/3,988.36 = 1,711.39/x
  3. Step 3: Cross multiply
    2,889.75x = 3,988.36 × 1,711.39
  4. Step 4: Simplify right side
    2,889.75x = 6,825,639.42
  5. Step 5: Solve for x
    x = 6,825,639.42/2,889.75
  6. Step 6: Final answer
    x = 2,362.02

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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.