Home / 2,678.27-4,017.20-829.40

Finding the Fourth Proportional to 2,678.27, 4,017.20 and 829.40

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Solution

The fourth proportional to 2,678.27, 4,017.20 and 829.40 is: 1,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.27 : 4,017.20 = 829.40 : x
  2. Step 2: Convert to fraction form
    2,678.27/4,017.20 = 829.40/x
  3. Step 3: Cross multiply
    2,678.27x = 4,017.20 × 829.40
  4. Step 4: Simplify right side
    2,678.27x = 3,331,865.68
  5. Step 5: Solve for x
    x = 3,331,865.68/2,678.27
  6. Step 6: Final answer
    x = 1,244.04

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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.