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Finding the Fourth Proportional to 2,123.50, 3,179.07 and 1,578.10

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Solution

The fourth proportional to 2,123.50, 3,179.07 and 1,578.10 is: 2,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.50 : 3,179.07 = 1,578.10 : x
  2. Step 2: Convert to fraction form
    2,123.50/3,179.07 = 1,578.10/x
  3. Step 3: Cross multiply
    2,123.50x = 3,179.07 × 1,578.10
  4. Step 4: Simplify right side
    2,123.50x = 5,016,890.37
  5. Step 5: Solve for x
    x = 5,016,890.37/2,123.50
  6. Step 6: Final answer
    x = 2,362.56

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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.