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Finding the Fourth Proportional to 1,865.25, 2,576.21 and 1,274.76

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Solution

The fourth proportional to 1,865.25, 2,576.21 and 1,274.76 is: 1,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.25 : 2,576.21 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    1,865.25/2,576.21 = 1,274.76/x
  3. Step 3: Cross multiply
    1,865.25x = 2,576.21 × 1,274.76
  4. Step 4: Simplify right side
    1,865.25x = 3,284,043.09
  5. Step 5: Solve for x
    x = 3,284,043.09/1,865.25
  6. Step 6: Final answer
    x = 1,760.64

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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.