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Finding the Fourth Proportional to 2,576.72, 3,865.64 and 845.28

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Solution

The fourth proportional to 2,576.72, 3,865.64 and 845.28 is: 1,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.72 : 3,865.64 = 845.28 : x
  2. Step 2: Convert to fraction form
    2,576.72/3,865.64 = 845.28/x
  3. Step 3: Cross multiply
    2,576.72x = 3,865.64 × 845.28
  4. Step 4: Simplify right side
    2,576.72x = 3,267,548.18
  5. Step 5: Solve for x
    x = 3,267,548.18/2,576.72
  6. Step 6: Final answer
    x = 1,268.10

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1.5x scale

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.