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Finding the Fourth Proportional to 1,866.94, 2,576.28 and 1,120.75

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Solution

The fourth proportional to 1,866.94, 2,576.28 and 1,120.75 is: 1,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.94 : 2,576.28 = 1,120.75 : x
  2. Step 2: Convert to fraction form
    1,866.94/2,576.28 = 1,120.75/x
  3. Step 3: Cross multiply
    1,866.94x = 2,576.28 × 1,120.75
  4. Step 4: Simplify right side
    1,866.94x = 2,887,363.57
  5. Step 5: Solve for x
    x = 2,887,363.57/1,866.94
  6. Step 6: Final answer
    x = 1,546.58

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Why These Related Problems?

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