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Finding the Fourth Proportional to 2,783.30, 4,174.95 and 809.05

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Solution

The fourth proportional to 2,783.30, 4,174.95 and 809.05 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.30 : 4,174.95 = 809.05 : x
  2. Step 2: Convert to fraction form
    2,783.30/4,174.95 = 809.05/x
  3. Step 3: Cross multiply
    2,783.30x = 4,174.95 × 809.05
  4. Step 4: Simplify right side
    2,783.30x = 3,377,743.30
  5. Step 5: Solve for x
    x = 3,377,743.30/2,783.30
  6. Step 6: Final answer
    x = 1,213.58

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Similar ratio
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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.