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Finding the Fourth Proportional to 2,614.16, 3,609.48 and 1,620.80

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Solution

The fourth proportional to 2,614.16, 3,609.48 and 1,620.80 is: 2,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.16 : 3,609.48 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    2,614.16/3,609.48 = 1,620.80/x
  3. Step 3: Cross multiply
    2,614.16x = 3,609.48 × 1,620.80
  4. Step 4: Simplify right side
    2,614.16x = 5,850,245.18
  5. Step 5: Solve for x
    x = 5,850,245.18/2,614.16
  6. Step 6: Final answer
    x = 2,237.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.