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Finding the Fourth Proportional to 8,328, 12,491.58 and 2,781.92

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Solution

The fourth proportional to 8,328, 12,491.58 and 2,781.92 is: 4,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328 : 12,491.58 = 2,781.92 : x
  2. Step 2: Convert to fraction form
    8,328/12,491.58 = 2,781.92/x
  3. Step 3: Cross multiply
    8,328x = 12,491.58 × 2,781.92
  4. Step 4: Simplify right side
    8,328x = 34,750,576.23
  5. Step 5: Solve for x
    x = 34,750,576.23/8,328
  6. Step 6: Final answer
    x = 4,172.74

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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.