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Finding the Fourth Proportional to 2,191.70, 3,286.79 and 1,573.57

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Solution

The fourth proportional to 2,191.70, 3,286.79 and 1,573.57 is: 2,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.70 : 3,286.79 = 1,573.57 : x
  2. Step 2: Convert to fraction form
    2,191.70/3,286.79 = 1,573.57/x
  3. Step 3: Cross multiply
    2,191.70x = 3,286.79 × 1,573.57
  4. Step 4: Simplify right side
    2,191.70x = 5,171,978.06
  5. Step 5: Solve for x
    x = 5,171,978.06/2,191.70
  6. Step 6: Final answer
    x = 2,359.80

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1.5x scale

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.