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Finding the Fourth Proportional to 2,769.92, 4,155.56 and 822.12

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Solution

The fourth proportional to 2,769.92, 4,155.56 and 822.12 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.92 : 4,155.56 = 822.12 : x
  2. Step 2: Convert to fraction form
    2,769.92/4,155.56 = 822.12/x
  3. Step 3: Cross multiply
    2,769.92x = 4,155.56 × 822.12
  4. Step 4: Simplify right side
    2,769.92x = 3,416,368.99
  5. Step 5: Solve for x
    x = 3,416,368.99/2,769.92
  6. Step 6: Final answer
    x = 1,233.38

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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.