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Finding the Fourth Proportional to 2,620.86, 3,932.64 and 1,161.04

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Solution

The fourth proportional to 2,620.86, 3,932.64 and 1,161.04 is: 1,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.86 : 3,932.64 = 1,161.04 : x
  2. Step 2: Convert to fraction form
    2,620.86/3,932.64 = 1,161.04/x
  3. Step 3: Cross multiply
    2,620.86x = 3,932.64 × 1,161.04
  4. Step 4: Simplify right side
    2,620.86x = 4,565,952.35
  5. Step 5: Solve for x
    x = 4,565,952.35/2,620.86
  6. Step 6: Final answer
    x = 1,742.16

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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.