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Finding the Fourth Proportional to 2,540.69, 3,811.07 and 809.32

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Solution

The fourth proportional to 2,540.69, 3,811.07 and 809.32 is: 1,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.69 : 3,811.07 = 809.32 : x
  2. Step 2: Convert to fraction form
    2,540.69/3,811.07 = 809.32/x
  3. Step 3: Cross multiply
    2,540.69x = 3,811.07 × 809.32
  4. Step 4: Simplify right side
    2,540.69x = 3,084,352.07
  5. Step 5: Solve for x
    x = 3,084,352.07/2,540.69
  6. Step 6: Final answer
    x = 1,213.98

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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.