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Finding the Fourth Proportional to 3,582.38, 4,945.54 and 2,783.92

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Solution

The fourth proportional to 3,582.38, 4,945.54 and 2,783.92 is: 3,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.38 : 4,945.54 = 2,783.92 : x
  2. Step 2: Convert to fraction form
    3,582.38/4,945.54 = 2,783.92/x
  3. Step 3: Cross multiply
    3,582.38x = 4,945.54 × 2,783.92
  4. Step 4: Simplify right side
    3,582.38x = 13,767,987.72
  5. Step 5: Solve for x
    x = 13,767,987.72/3,582.38
  6. Step 6: Final answer
    x = 3,843.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.