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Finding the Fourth Proportional to 2,137.94, 2,953.20 and 1,719.87

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Solution

The fourth proportional to 2,137.94, 2,953.20 and 1,719.87 is: 2,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.94 : 2,953.20 = 1,719.87 : x
  2. Step 2: Convert to fraction form
    2,137.94/2,953.20 = 1,719.87/x
  3. Step 3: Cross multiply
    2,137.94x = 2,953.20 × 1,719.87
  4. Step 4: Simplify right side
    2,137.94x = 5,079,115.82
  5. Step 5: Solve for x
    x = 5,079,115.82/2,137.94
  6. Step 6: Final answer
    x = 2,375.70

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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.