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Finding the Fourth Proportional to 2,052.14, 3,078.26 and 665.49

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Solution

The fourth proportional to 2,052.14, 3,078.26 and 665.49 is: 998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.14 : 3,078.26 = 665.49 : x
  2. Step 2: Convert to fraction form
    2,052.14/3,078.26 = 665.49/x
  3. Step 3: Cross multiply
    2,052.14x = 3,078.26 × 665.49
  4. Step 4: Simplify right side
    2,052.14x = 2,048,552.91
  5. Step 5: Solve for x
    x = 2,048,552.91/2,052.14
  6. Step 6: Final answer
    x = 998.25

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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.