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Finding the Fourth Proportional to 3,068, 4,234.20 and 1,826

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Solution

The fourth proportional to 3,068, 4,234.20 and 1,826 is: 2,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068 : 4,234.20 = 1,826 : x
  2. Step 2: Convert to fraction form
    3,068/4,234.20 = 1,826/x
  3. Step 3: Cross multiply
    3,068x = 4,234.20 × 1,826
  4. Step 4: Simplify right side
    3,068x = 7,731,649.20
  5. Step 5: Solve for x
    x = 7,731,649.20/3,068
  6. Step 6: Final answer
    x = 2,520.09

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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.