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Finding the Fourth Proportional to 2,096.13, 3,145.63 and 728.13

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Solution

The fourth proportional to 2,096.13, 3,145.63 and 728.13 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.13 : 3,145.63 = 728.13 : x
  2. Step 2: Convert to fraction form
    2,096.13/3,145.63 = 728.13/x
  3. Step 3: Cross multiply
    2,096.13x = 3,145.63 × 728.13
  4. Step 4: Simplify right side
    2,096.13x = 2,290,410.02
  5. Step 5: Solve for x
    x = 2,290,410.02/2,096.13
  6. Step 6: Final answer
    x = 1,092.69

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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.