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Finding the Fourth Proportional to 2,039.09, 3,057.13 and 651.62

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Solution

The fourth proportional to 2,039.09, 3,057.13 and 651.62 is: 976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.09 : 3,057.13 = 651.62 : x
  2. Step 2: Convert to fraction form
    2,039.09/3,057.13 = 651.62/x
  3. Step 3: Cross multiply
    2,039.09x = 3,057.13 × 651.62
  4. Step 4: Simplify right side
    2,039.09x = 1,992,093.82
  5. Step 5: Solve for x
    x = 1,992,093.82/2,039.09
  6. Step 6: Final answer
    x = 976.95

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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.