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Finding the Fourth Proportional to 8,330.58, 12,491.28 and 2,781

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Solution

The fourth proportional to 8,330.58, 12,491.28 and 2,781 is: 4,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.58 : 12,491.28 = 2,781 : x
  2. Step 2: Convert to fraction form
    8,330.58/12,491.28 = 2,781/x
  3. Step 3: Cross multiply
    8,330.58x = 12,491.28 × 2,781
  4. Step 4: Simplify right side
    8,330.58x = 34,738,249.68
  5. Step 5: Solve for x
    x = 34,738,249.68/8,330.58
  6. Step 6: Final answer
    x = 4,169.97

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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.