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Finding the Fourth Proportional to 5,839.38, 8,000.78 and 5,761.47

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Solution

The fourth proportional to 5,839.38, 8,000.78 and 5,761.47 is: 7,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.38 : 8,000.78 = 5,761.47 : x
  2. Step 2: Convert to fraction form
    5,839.38/8,000.78 = 5,761.47/x
  3. Step 3: Cross multiply
    5,839.38x = 8,000.78 × 5,761.47
  4. Step 4: Simplify right side
    5,839.38x = 46,096,253.95
  5. Step 5: Solve for x
    x = 46,096,253.95/5,839.38
  6. Step 6: Final answer
    x = 7,894.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.