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Finding the Fourth Proportional to 2,051.93, 3,078.29 and 665.61

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Solution

The fourth proportional to 2,051.93, 3,078.29 and 665.61 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.93 : 3,078.29 = 665.61 : x
  2. Step 2: Convert to fraction form
    2,051.93/3,078.29 = 665.61/x
  3. Step 3: Cross multiply
    2,051.93x = 3,078.29 × 665.61
  4. Step 4: Simplify right side
    2,051.93x = 2,048,940.61
  5. Step 5: Solve for x
    x = 2,048,940.61/2,051.93
  6. Step 6: Final answer
    x = 998.54

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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.