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Finding the Fourth Proportional to 1,321.10, 1,821.01 and 984.85

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Solution

The fourth proportional to 1,321.10, 1,821.01 and 984.85 is: 1,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.10 : 1,821.01 = 984.85 : x
  2. Step 2: Convert to fraction form
    1,321.10/1,821.01 = 984.85/x
  3. Step 3: Cross multiply
    1,321.10x = 1,821.01 × 984.85
  4. Step 4: Simplify right side
    1,321.10x = 1,793,414.68
  5. Step 5: Solve for x
    x = 1,793,414.68/1,321.10
  6. Step 6: Final answer
    x = 1,357.52

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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.