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Finding the Fourth Proportional to 2,369.12, 3,553.34 and 809.12

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Solution

The fourth proportional to 2,369.12, 3,553.34 and 809.12 is: 1,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.12 : 3,553.34 = 809.12 : x
  2. Step 2: Convert to fraction form
    2,369.12/3,553.34 = 809.12/x
  3. Step 3: Cross multiply
    2,369.12x = 3,553.34 × 809.12
  4. Step 4: Simplify right side
    2,369.12x = 2,875,062.72
  5. Step 5: Solve for x
    x = 2,875,062.72/2,369.12
  6. Step 6: Final answer
    x = 1,213.56

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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.