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Finding the Fourth Proportional to 1,382.25, 1,911.12 and 1,321.05

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Solution

The fourth proportional to 1,382.25, 1,911.12 and 1,321.05 is: 1,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.25 : 1,911.12 = 1,321.05 : x
  2. Step 2: Convert to fraction form
    1,382.25/1,911.12 = 1,321.05/x
  3. Step 3: Cross multiply
    1,382.25x = 1,911.12 × 1,321.05
  4. Step 4: Simplify right side
    1,382.25x = 2,524,685.08
  5. Step 5: Solve for x
    x = 2,524,685.08/1,382.25
  6. Step 6: Final answer
    x = 1,826.50

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Half scale
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Double scale
Find fourth proportional to 1,383.25, 1,912.50 and 1,322.05
Similar ratio
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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.