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Finding the Fourth Proportional to 4,761.74, 7,147.39 and 3,894.53

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Solution

The fourth proportional to 4,761.74, 7,147.39 and 3,894.53 is: 5,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.74 : 7,147.39 = 3,894.53 : x
  2. Step 2: Convert to fraction form
    4,761.74/7,147.39 = 3,894.53/x
  3. Step 3: Cross multiply
    4,761.74x = 7,147.39 × 3,894.53
  4. Step 4: Simplify right side
    4,761.74x = 27,835,726.81
  5. Step 5: Solve for x
    x = 27,835,726.81/4,761.74
  6. Step 6: Final answer
    x = 5,845.71

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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.