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Finding the Fourth Proportional to 5,115.73, 7,675.22 and 1,828.75

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Solution

The fourth proportional to 5,115.73, 7,675.22 and 1,828.75 is: 2,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.73 : 7,675.22 = 1,828.75 : x
  2. Step 2: Convert to fraction form
    5,115.73/7,675.22 = 1,828.75/x
  3. Step 3: Cross multiply
    5,115.73x = 7,675.22 × 1,828.75
  4. Step 4: Simplify right side
    5,115.73x = 14,036,049.43
  5. Step 5: Solve for x
    x = 14,036,049.43/5,115.73
  6. Step 6: Final answer
    x = 2,743.70

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1.5x scale

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.