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Finding the Fourth Proportional to 2,732.07, 4,098.11 and 680.07

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Solution

The fourth proportional to 2,732.07, 4,098.11 and 680.07 is: 1,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.07 : 4,098.11 = 680.07 : x
  2. Step 2: Convert to fraction form
    2,732.07/4,098.11 = 680.07/x
  3. Step 3: Cross multiply
    2,732.07x = 4,098.11 × 680.07
  4. Step 4: Simplify right side
    2,732.07x = 2,786,998.27
  5. Step 5: Solve for x
    x = 2,786,998.27/2,732.07
  6. Step 6: Final answer
    x = 1,020.11

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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.