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Finding the Fourth Proportional to 3,256.68, 4,885.02 and 791.48

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Solution

The fourth proportional to 3,256.68, 4,885.02 and 791.48 is: 1,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.68 : 4,885.02 = 791.48 : x
  2. Step 2: Convert to fraction form
    3,256.68/4,885.02 = 791.48/x
  3. Step 3: Cross multiply
    3,256.68x = 4,885.02 × 791.48
  4. Step 4: Simplify right side
    3,256.68x = 3,866,407.84
  5. Step 5: Solve for x
    x = 3,866,407.84/3,256.68
  6. Step 6: Final answer
    x = 1,187.22

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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.