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Finding the Fourth Proportional to 2,065.70, 3,100.80 and 833.96

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Solution

The fourth proportional to 2,065.70, 3,100.80 and 833.96 is: 1,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.70 : 3,100.80 = 833.96 : x
  2. Step 2: Convert to fraction form
    2,065.70/3,100.80 = 833.96/x
  3. Step 3: Cross multiply
    2,065.70x = 3,100.80 × 833.96
  4. Step 4: Simplify right side
    2,065.70x = 2,585,943.17
  5. Step 5: Solve for x
    x = 2,585,943.17/2,065.70
  6. Step 6: Final answer
    x = 1,251.85

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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.