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Finding the Fourth Proportional to 2,160.72, 3,240.92 and 773.80

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Solution

The fourth proportional to 2,160.72, 3,240.92 and 773.80 is: 1,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.72 : 3,240.92 = 773.80 : x
  2. Step 2: Convert to fraction form
    2,160.72/3,240.92 = 773.80/x
  3. Step 3: Cross multiply
    2,160.72x = 3,240.92 × 773.80
  4. Step 4: Simplify right side
    2,160.72x = 2,507,817.73
  5. Step 5: Solve for x
    x = 2,507,817.73/2,160.72
  6. Step 6: Final answer
    x = 1,160.64

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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.