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Finding the Fourth Proportional to 8,419.78, 12,631.68 and 2,576.38

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Solution

The fourth proportional to 8,419.78, 12,631.68 and 2,576.38 is: 3,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.78 : 12,631.68 = 2,576.38 : x
  2. Step 2: Convert to fraction form
    8,419.78/12,631.68 = 2,576.38/x
  3. Step 3: Cross multiply
    8,419.78x = 12,631.68 × 2,576.38
  4. Step 4: Simplify right side
    8,419.78x = 32,544,007.72
  5. Step 5: Solve for x
    x = 32,544,007.72/8,419.78
  6. Step 6: Final answer
    x = 3,865.19

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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.