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Finding the Fourth Proportional to 1,833.30, 2,751.12 and 1,711.80

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Solution

The fourth proportional to 1,833.30, 2,751.12 and 1,711.80 is: 2,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.30 : 2,751.12 = 1,711.80 : x
  2. Step 2: Convert to fraction form
    1,833.30/2,751.12 = 1,711.80/x
  3. Step 3: Cross multiply
    1,833.30x = 2,751.12 × 1,711.80
  4. Step 4: Simplify right side
    1,833.30x = 4,709,367.22
  5. Step 5: Solve for x
    x = 4,709,367.22/1,833.30
  6. Step 6: Final answer
    x = 2,568.79

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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.