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Finding the Fourth Proportional to 2,576.68, 3,866.64 and 1,278.28

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Solution

The fourth proportional to 2,576.68, 3,866.64 and 1,278.28 is: 1,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.68 : 3,866.64 = 1,278.28 : x
  2. Step 2: Convert to fraction form
    2,576.68/3,866.64 = 1,278.28/x
  3. Step 3: Cross multiply
    2,576.68x = 3,866.64 × 1,278.28
  4. Step 4: Simplify right side
    2,576.68x = 4,942,648.58
  5. Step 5: Solve for x
    x = 4,942,648.58/2,576.68
  6. Step 6: Final answer
    x = 1,918.22

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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.