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Finding the Fourth Proportional to 2,096.70, 3,145.05 and 1,003.20

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Solution

The fourth proportional to 2,096.70, 3,145.05 and 1,003.20 is: 1,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 3,145.05 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    2,096.70/3,145.05 = 1,003.20/x
  3. Step 3: Cross multiply
    2,096.70x = 3,145.05 × 1,003.20
  4. Step 4: Simplify right side
    2,096.70x = 3,155,114.16
  5. Step 5: Solve for x
    x = 3,155,114.16/2,096.70
  6. Step 6: Final answer
    x = 1,504.80

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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.