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Finding the Fourth Proportional to 1,294.20, 1,939.02 and 1,128.24

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Solution

The fourth proportional to 1,294.20, 1,939.02 and 1,128.24 is: 1,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.20 : 1,939.02 = 1,128.24 : x
  2. Step 2: Convert to fraction form
    1,294.20/1,939.02 = 1,128.24/x
  3. Step 3: Cross multiply
    1,294.20x = 1,939.02 × 1,128.24
  4. Step 4: Simplify right side
    1,294.20x = 2,187,679.92
  5. Step 5: Solve for x
    x = 2,187,679.92/1,294.20
  6. Step 6: Final answer
    x = 1,690.37

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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.