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Finding the Fourth Proportional to 1,914.28, 2,869.03 and 817.37

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Solution

The fourth proportional to 1,914.28, 2,869.03 and 817.37 is: 1,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.28 : 2,869.03 = 817.37 : x
  2. Step 2: Convert to fraction form
    1,914.28/2,869.03 = 817.37/x
  3. Step 3: Cross multiply
    1,914.28x = 2,869.03 × 817.37
  4. Step 4: Simplify right side
    1,914.28x = 2,345,059.05
  5. Step 5: Solve for x
    x = 2,345,059.05/1,914.28
  6. Step 6: Final answer
    x = 1,225.03

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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.