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Finding the Fourth Proportional to 1,889.97, 2,835.87 and 1,725.94

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Solution

The fourth proportional to 1,889.97, 2,835.87 and 1,725.94 is: 2,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.97 : 2,835.87 = 1,725.94 : x
  2. Step 2: Convert to fraction form
    1,889.97/2,835.87 = 1,725.94/x
  3. Step 3: Cross multiply
    1,889.97x = 2,835.87 × 1,725.94
  4. Step 4: Simplify right side
    1,889.97x = 4,894,541.47
  5. Step 5: Solve for x
    x = 4,894,541.47/1,889.97
  6. Step 6: Final answer
    x = 2,589.75

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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.