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Finding the Fourth Proportional to 8,540, 12,812.16 and 2,384

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Solution

The fourth proportional to 8,540, 12,812.16 and 2,384 is: 3,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540 : 12,812.16 = 2,384 : x
  2. Step 2: Convert to fraction form
    8,540/12,812.16 = 2,384/x
  3. Step 3: Cross multiply
    8,540x = 12,812.16 × 2,384
  4. Step 4: Simplify right side
    8,540x = 30,544,189.44
  5. Step 5: Solve for x
    x = 30,544,189.44/8,540
  6. Step 6: Final answer
    x = 3,576.60

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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.