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Finding the Fourth Proportional to 5,182.76, 7,770.50 and 2,583.88

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Solution

The fourth proportional to 5,182.76, 7,770.50 and 2,583.88 is: 3,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.76 : 7,770.50 = 2,583.88 : x
  2. Step 2: Convert to fraction form
    5,182.76/7,770.50 = 2,583.88/x
  3. Step 3: Cross multiply
    5,182.76x = 7,770.50 × 2,583.88
  4. Step 4: Simplify right side
    5,182.76x = 20,078,039.54
  5. Step 5: Solve for x
    x = 20,078,039.54/5,182.76
  6. Step 6: Final answer
    x = 3,874.01

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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.