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Finding the Fourth Proportional to 2,672.13, 4,008.20 and 940.75

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Solution

The fourth proportional to 2,672.13, 4,008.20 and 940.75 is: 1,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.13 : 4,008.20 = 940.75 : x
  2. Step 2: Convert to fraction form
    2,672.13/4,008.20 = 940.75/x
  3. Step 3: Cross multiply
    2,672.13x = 4,008.20 × 940.75
  4. Step 4: Simplify right side
    2,672.13x = 3,770,714.15
  5. Step 5: Solve for x
    x = 3,770,714.15/2,672.13
  6. Step 6: Final answer
    x = 1,411.13

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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.