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Finding the Fourth Proportional to 3,256.32, 4,884.42 and 791.12

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Solution

The fourth proportional to 3,256.32, 4,884.42 and 791.12 is: 1,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.32 : 4,884.42 = 791.12 : x
  2. Step 2: Convert to fraction form
    3,256.32/4,884.42 = 791.12/x
  3. Step 3: Cross multiply
    3,256.32x = 4,884.42 × 791.12
  4. Step 4: Simplify right side
    3,256.32x = 3,864,177.53
  5. Step 5: Solve for x
    x = 3,864,177.53/3,256.32
  6. Step 6: Final answer
    x = 1,186.67

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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.