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Finding the Fourth Proportional to 2,564.80, 3,563.20 and 2,540.80

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Solution

The fourth proportional to 2,564.80, 3,563.20 and 2,540.80 is: 3,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.80 : 3,563.20 = 2,540.80 : x
  2. Step 2: Convert to fraction form
    2,564.80/3,563.20 = 2,540.80/x
  3. Step 3: Cross multiply
    2,564.80x = 3,563.20 × 2,540.80
  4. Step 4: Simplify right side
    2,564.80x = 9,053,378.56
  5. Step 5: Solve for x
    x = 9,053,378.56/2,564.80
  6. Step 6: Final answer
    x = 3,529.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.