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Finding the Fourth Proportional to 3,256.65, 4,884.90 and 791.48

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Solution

The fourth proportional to 3,256.65, 4,884.90 and 791.48 is: 1,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.65 : 4,884.90 = 791.48 : x
  2. Step 2: Convert to fraction form
    3,256.65/4,884.90 = 791.48/x
  3. Step 3: Cross multiply
    3,256.65x = 4,884.90 × 791.48
  4. Step 4: Simplify right side
    3,256.65x = 3,866,302.63
  5. Step 5: Solve for x
    x = 3,866,302.63/3,256.65
  6. Step 6: Final answer
    x = 1,187.20

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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.