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Finding the Fourth Proportional to 3,242, 4,862.64 and 1,161.92

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Solution

The fourth proportional to 3,242, 4,862.64 and 1,161.92 is: 1,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242 : 4,862.64 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    3,242/4,862.64 = 1,161.92/x
  3. Step 3: Cross multiply
    3,242x = 4,862.64 × 1,161.92
  4. Step 4: Simplify right side
    3,242x = 5,649,998.67
  5. Step 5: Solve for x
    x = 5,649,998.67/3,242
  6. Step 6: Final answer
    x = 1,742.75

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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.