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Finding the Fourth Proportional to 1,382.19, 1,910.10 and 1,028.64

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Solution

The fourth proportional to 1,382.19, 1,910.10 and 1,028.64 is: 1,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.19 : 1,910.10 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    1,382.19/1,910.10 = 1,028.64/x
  3. Step 3: Cross multiply
    1,382.19x = 1,910.10 × 1,028.64
  4. Step 4: Simplify right side
    1,382.19x = 1,964,805.26
  5. Step 5: Solve for x
    x = 1,964,805.26/1,382.19
  6. Step 6: Final answer
    x = 1,421.52

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Double scale
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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.