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Finding the Fourth Proportional to 8,511.93, 12,767.90 and 2,271.97

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Solution

The fourth proportional to 8,511.93, 12,767.90 and 2,271.97 is: 3,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.93 : 12,767.90 = 2,271.97 : x
  2. Step 2: Convert to fraction form
    8,511.93/12,767.90 = 2,271.97/x
  3. Step 3: Cross multiply
    8,511.93x = 12,767.90 × 2,271.97
  4. Step 4: Simplify right side
    8,511.93x = 29,008,253.84
  5. Step 5: Solve for x
    x = 29,008,253.84/8,511.93
  6. Step 6: Final answer
    x = 3,407.95

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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.