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Finding the Fourth Proportional to 2,096.72, 3,145.09 and 997.76

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Solution

The fourth proportional to 2,096.72, 3,145.09 and 997.76 is: 1,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.72 : 3,145.09 = 997.76 : x
  2. Step 2: Convert to fraction form
    2,096.72/3,145.09 = 997.76/x
  3. Step 3: Cross multiply
    2,096.72x = 3,145.09 × 997.76
  4. Step 4: Simplify right side
    2,096.72x = 3,138,045.00
  5. Step 5: Solve for x
    x = 3,138,045.00/2,096.72
  6. Step 6: Final answer
    x = 1,496.64

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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.