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Finding the Fourth Proportional to 1,889.43, 2,835.24 and 793.71

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Solution

The fourth proportional to 1,889.43, 2,835.24 and 793.71 is: 1,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.43 : 2,835.24 = 793.71 : x
  2. Step 2: Convert to fraction form
    1,889.43/2,835.24 = 793.71/x
  3. Step 3: Cross multiply
    1,889.43x = 2,835.24 × 793.71
  4. Step 4: Simplify right side
    1,889.43x = 2,250,358.34
  5. Step 5: Solve for x
    x = 2,250,358.34/1,889.43
  6. Step 6: Final answer
    x = 1,191.02

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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.