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Finding the Fourth Proportional to 1,519.21, 2,096.48 and 856.18

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Solution

The fourth proportional to 1,519.21, 2,096.48 and 856.18 is: 1,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.21 : 2,096.48 = 856.18 : x
  2. Step 2: Convert to fraction form
    1,519.21/2,096.48 = 856.18/x
  3. Step 3: Cross multiply
    1,519.21x = 2,096.48 × 856.18
  4. Step 4: Simplify right side
    1,519.21x = 1,794,961.15
  5. Step 5: Solve for x
    x = 1,794,961.15/1,519.21
  6. Step 6: Final answer
    x = 1,181.51

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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.