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Finding the Fourth Proportional to 5,841.12, 8,756.47 and 2,142.49

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Solution

The fourth proportional to 5,841.12, 8,756.47 and 2,142.49 is: 3,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.12 : 8,756.47 = 2,142.49 : x
  2. Step 2: Convert to fraction form
    5,841.12/8,756.47 = 2,142.49/x
  3. Step 3: Cross multiply
    5,841.12x = 8,756.47 × 2,142.49
  4. Step 4: Simplify right side
    5,841.12x = 18,760,649.41
  5. Step 5: Solve for x
    x = 18,760,649.41/5,841.12
  6. Step 6: Final answer
    x = 3,211.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.