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Finding the Fourth Proportional to 2,052.39, 3,078.47 and 665.61

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Solution

The fourth proportional to 2,052.39, 3,078.47 and 665.61 is: 998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.39 : 3,078.47 = 665.61 : x
  2. Step 2: Convert to fraction form
    2,052.39/3,078.47 = 665.61/x
  3. Step 3: Cross multiply
    2,052.39x = 3,078.47 × 665.61
  4. Step 4: Simplify right side
    2,052.39x = 2,049,057.09
  5. Step 5: Solve for x
    x = 2,049,057.09/2,052.39
  6. Step 6: Final answer
    x = 998.38

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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.