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Finding the Fourth Proportional to 2,576.15, 3,864.17 and 628.34

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Solution

The fourth proportional to 2,576.15, 3,864.17 and 628.34 is: 942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.15 : 3,864.17 = 628.34 : x
  2. Step 2: Convert to fraction form
    2,576.15/3,864.17 = 628.34/x
  3. Step 3: Cross multiply
    2,576.15x = 3,864.17 × 628.34
  4. Step 4: Simplify right side
    2,576.15x = 2,427,990.12
  5. Step 5: Solve for x
    x = 2,427,990.12/2,576.15
  6. Step 6: Final answer
    x = 942.49

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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.