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Finding the Fourth Proportional to 2,161.64, 3,242.22 and 1,339.24

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Solution

The fourth proportional to 2,161.64, 3,242.22 and 1,339.24 is: 2,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.64 : 3,242.22 = 1,339.24 : x
  2. Step 2: Convert to fraction form
    2,161.64/3,242.22 = 1,339.24/x
  3. Step 3: Cross multiply
    2,161.64x = 3,242.22 × 1,339.24
  4. Step 4: Simplify right side
    2,161.64x = 4,342,110.71
  5. Step 5: Solve for x
    x = 4,342,110.71/2,161.64
  6. Step 6: Final answer
    x = 2,008.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.