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Finding the Fourth Proportional to 2,833.80, 4,245.90 and 1,859.40

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Solution

The fourth proportional to 2,833.80, 4,245.90 and 1,859.40 is: 2,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.80 : 4,245.90 = 1,859.40 : x
  2. Step 2: Convert to fraction form
    2,833.80/4,245.90 = 1,859.40/x
  3. Step 3: Cross multiply
    2,833.80x = 4,245.90 × 1,859.40
  4. Step 4: Simplify right side
    2,833.80x = 7,894,826.46
  5. Step 5: Solve for x
    x = 7,894,826.46/2,833.80
  6. Step 6: Final answer
    x = 2,785.95

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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.