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Finding the Fourth Proportional to 5,851.27, 8,761.47 and 3,505.71

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Solution

The fourth proportional to 5,851.27, 8,761.47 and 3,505.71 is: 5,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.27 : 8,761.47 = 3,505.71 : x
  2. Step 2: Convert to fraction form
    5,851.27/8,761.47 = 3,505.71/x
  3. Step 3: Cross multiply
    5,851.27x = 8,761.47 × 3,505.71
  4. Step 4: Simplify right side
    5,851.27x = 30,715,172.99
  5. Step 5: Solve for x
    x = 30,715,172.99/5,851.27
  6. Step 6: Final answer
    x = 5,249.32

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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.