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Finding the Fourth Proportional to 2,523.12, 3,784.68 and 791.76

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Solution

The fourth proportional to 2,523.12, 3,784.68 and 791.76 is: 1,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.12 : 3,784.68 = 791.76 : x
  2. Step 2: Convert to fraction form
    2,523.12/3,784.68 = 791.76/x
  3. Step 3: Cross multiply
    2,523.12x = 3,784.68 × 791.76
  4. Step 4: Simplify right side
    2,523.12x = 2,996,558.24
  5. Step 5: Solve for x
    x = 2,996,558.24/2,523.12
  6. Step 6: Final answer
    x = 1,187.64

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1.5x scale

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.