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Finding the Fourth Proportional to 1,682.10, 2,321.19 and 1,019.10

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Solution

The fourth proportional to 1,682.10, 2,321.19 and 1,019.10 is: 1,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.10 : 2,321.19 = 1,019.10 : x
  2. Step 2: Convert to fraction form
    1,682.10/2,321.19 = 1,019.10/x
  3. Step 3: Cross multiply
    1,682.10x = 2,321.19 × 1,019.10
  4. Step 4: Simplify right side
    1,682.10x = 2,365,524.73
  5. Step 5: Solve for x
    x = 2,365,524.73/1,682.10
  6. Step 6: Final answer
    x = 1,406.29

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Half scale
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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.