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Finding the Fourth Proportional to 2,572.82, 3,859.24 and 1,185.75

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Solution

The fourth proportional to 2,572.82, 3,859.24 and 1,185.75 is: 1,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.82 : 3,859.24 = 1,185.75 : x
  2. Step 2: Convert to fraction form
    2,572.82/3,859.24 = 1,185.75/x
  3. Step 3: Cross multiply
    2,572.82x = 3,859.24 × 1,185.75
  4. Step 4: Simplify right side
    2,572.82x = 4,576,088.64
  5. Step 5: Solve for x
    x = 4,576,088.64/2,572.82
  6. Step 6: Final answer
    x = 1,778.62

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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.