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Finding the Fourth Proportional to 2,540.97, 3,811.73 and 897.48

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Solution

The fourth proportional to 2,540.97, 3,811.73 and 897.48 is: 1,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.97 : 3,811.73 = 897.48 : x
  2. Step 2: Convert to fraction form
    2,540.97/3,811.73 = 897.48/x
  3. Step 3: Cross multiply
    2,540.97x = 3,811.73 × 897.48
  4. Step 4: Simplify right side
    2,540.97x = 3,420,946.95
  5. Step 5: Solve for x
    x = 3,420,946.95/2,540.97
  6. Step 6: Final answer
    x = 1,346.32

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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.