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Finding the Fourth Proportional to 2,541.20, 3,811.80 and 897.80

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Solution

The fourth proportional to 2,541.20, 3,811.80 and 897.80 is: 1,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.20 : 3,811.80 = 897.80 : x
  2. Step 2: Convert to fraction form
    2,541.20/3,811.80 = 897.80/x
  3. Step 3: Cross multiply
    2,541.20x = 3,811.80 × 897.80
  4. Step 4: Simplify right side
    2,541.20x = 3,422,234.04
  5. Step 5: Solve for x
    x = 3,422,234.04/2,541.20
  6. Step 6: Final answer
    x = 1,346.70

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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.