Home / 3,106.28-4,286.49-1,780.04

Finding the Fourth Proportional to 3,106.28, 4,286.49 and 1,780.04

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Solution

The fourth proportional to 3,106.28, 4,286.49 and 1,780.04 is: 2,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.28 : 4,286.49 = 1,780.04 : x
  2. Step 2: Convert to fraction form
    3,106.28/4,286.49 = 1,780.04/x
  3. Step 3: Cross multiply
    3,106.28x = 4,286.49 × 1,780.04
  4. Step 4: Simplify right side
    3,106.28x = 7,630,123.66
  5. Step 5: Solve for x
    x = 7,630,123.66/3,106.28
  6. Step 6: Final answer
    x = 2,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.