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Finding the Fourth Proportional to 2,661.64, 3,992.46 and 930.28

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Solution

The fourth proportional to 2,661.64, 3,992.46 and 930.28 is: 1,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.64 : 3,992.46 = 930.28 : x
  2. Step 2: Convert to fraction form
    2,661.64/3,992.46 = 930.28/x
  3. Step 3: Cross multiply
    2,661.64x = 3,992.46 × 930.28
  4. Step 4: Simplify right side
    2,661.64x = 3,714,105.69
  5. Step 5: Solve for x
    x = 3,714,105.69/2,661.64
  6. Step 6: Final answer
    x = 1,395.42

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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.