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Finding the Fourth Proportional to 2,576.50, 3,552.88 and 2,204.70

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Solution

The fourth proportional to 2,576.50, 3,552.88 and 2,204.70 is: 3,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.50 : 3,552.88 = 2,204.70 : x
  2. Step 2: Convert to fraction form
    2,576.50/3,552.88 = 2,204.70/x
  3. Step 3: Cross multiply
    2,576.50x = 3,552.88 × 2,204.70
  4. Step 4: Simplify right side
    2,576.50x = 7,833,034.54
  5. Step 5: Solve for x
    x = 7,833,034.54/2,576.50
  6. Step 6: Final answer
    x = 3,040.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.