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Finding the Fourth Proportional to 2,015.96, 3,025.11 and 784.22

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Solution

The fourth proportional to 2,015.96, 3,025.11 and 784.22 is: 1,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.96 : 3,025.11 = 784.22 : x
  2. Step 2: Convert to fraction form
    2,015.96/3,025.11 = 784.22/x
  3. Step 3: Cross multiply
    2,015.96x = 3,025.11 × 784.22
  4. Step 4: Simplify right side
    2,015.96x = 2,372,351.76
  5. Step 5: Solve for x
    x = 2,372,351.76/2,015.96
  6. Step 6: Final answer
    x = 1,176.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.