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Finding the Fourth Proportional to 1,789.20, 2,469.04 and 1,003.20

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Solution

The fourth proportional to 1,789.20, 2,469.04 and 1,003.20 is: 1,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.20 : 2,469.04 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    1,789.20/2,469.04 = 1,003.20/x
  3. Step 3: Cross multiply
    1,789.20x = 2,469.04 × 1,003.20
  4. Step 4: Simplify right side
    1,789.20x = 2,476,940.93
  5. Step 5: Solve for x
    x = 2,476,940.93/1,789.20
  6. Step 6: Final answer
    x = 1,384.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.