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Finding the Fourth Proportional to 2,518.05, 3,776.54 and 785.73

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Solution

The fourth proportional to 2,518.05, 3,776.54 and 785.73 is: 1,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.05 : 3,776.54 = 785.73 : x
  2. Step 2: Convert to fraction form
    2,518.05/3,776.54 = 785.73/x
  3. Step 3: Cross multiply
    2,518.05x = 3,776.54 × 785.73
  4. Step 4: Simplify right side
    2,518.05x = 2,967,336.85
  5. Step 5: Solve for x
    x = 2,967,336.85/2,518.05
  6. Step 6: Final answer
    x = 1,178.43

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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.