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Finding the Fourth Proportional to 8,277, 12,407.27 and 3,886.67

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Solution

The fourth proportional to 8,277, 12,407.27 and 3,886.67 is: 5,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 12,407.27 = 3,886.67 : x
  2. Step 2: Convert to fraction form
    8,277/12,407.27 = 3,886.67/x
  3. Step 3: Cross multiply
    8,277x = 12,407.27 × 3,886.67
  4. Step 4: Simplify right side
    8,277x = 48,222,882.62
  5. Step 5: Solve for x
    x = 48,222,882.62/8,277
  6. Step 6: Final answer
    x = 5,826.13

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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.