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Finding the Fourth Proportional to 3,078.28, 4,613.50 and 2,214.28

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Solution

The fourth proportional to 3,078.28, 4,613.50 and 2,214.28 is: 3,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.28 : 4,613.50 = 2,214.28 : x
  2. Step 2: Convert to fraction form
    3,078.28/4,613.50 = 2,214.28/x
  3. Step 3: Cross multiply
    3,078.28x = 4,613.50 × 2,214.28
  4. Step 4: Simplify right side
    3,078.28x = 10,215,580.78
  5. Step 5: Solve for x
    x = 10,215,580.78/3,078.28
  6. Step 6: Final answer
    x = 3,318.60

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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.