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Finding the Fourth Proportional to 3,076.28, 4,613.76 and 884.60

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Solution

The fourth proportional to 3,076.28, 4,613.76 and 884.60 is: 1,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.28 : 4,613.76 = 884.60 : x
  2. Step 2: Convert to fraction form
    3,076.28/4,613.76 = 884.60/x
  3. Step 3: Cross multiply
    3,076.28x = 4,613.76 × 884.60
  4. Step 4: Simplify right side
    3,076.28x = 4,081,332.10
  5. Step 5: Solve for x
    x = 4,081,332.10/3,076.28
  6. Step 6: Final answer
    x = 1,326.71

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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.