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Finding the Fourth Proportional to 4,123, 6,178.87 and 1,900.54

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Solution

The fourth proportional to 4,123, 6,178.87 and 1,900.54 is: 2,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123 : 6,178.87 = 1,900.54 : x
  2. Step 2: Convert to fraction form
    4,123/6,178.87 = 1,900.54/x
  3. Step 3: Cross multiply
    4,123x = 6,178.87 × 1,900.54
  4. Step 4: Simplify right side
    4,123x = 11,743,189.59
  5. Step 5: Solve for x
    x = 11,743,189.59/4,123
  6. Step 6: Final answer
    x = 2,848.21

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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.