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Finding the Fourth Proportional to 2,704.47, 4,057.38 and 756.66

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Solution

The fourth proportional to 2,704.47, 4,057.38 and 756.66 is: 1,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.47 : 4,057.38 = 756.66 : x
  2. Step 2: Convert to fraction form
    2,704.47/4,057.38 = 756.66/x
  3. Step 3: Cross multiply
    2,704.47x = 4,057.38 × 756.66
  4. Step 4: Simplify right side
    2,704.47x = 3,070,057.15
  5. Step 5: Solve for x
    x = 3,070,057.15/2,704.47
  6. Step 6: Final answer
    x = 1,135.18

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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.