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Finding the Fourth Proportional to 2,890.70, 3,989.49 and 1,711.85

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Solution

The fourth proportional to 2,890.70, 3,989.49 and 1,711.85 is: 2,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.70 : 3,989.49 = 1,711.85 : x
  2. Step 2: Convert to fraction form
    2,890.70/3,989.49 = 1,711.85/x
  3. Step 3: Cross multiply
    2,890.70x = 3,989.49 × 1,711.85
  4. Step 4: Simplify right side
    2,890.70x = 6,829,382.09
  5. Step 5: Solve for x
    x = 6,829,382.09/2,890.70
  6. Step 6: Final answer
    x = 2,362.54

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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.