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Finding the Fourth Proportional to 8,115.88, 12,102.21 and 7,826.78

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Solution

The fourth proportional to 8,115.88, 12,102.21 and 7,826.78 is: 11,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.88 : 12,102.21 = 7,826.78 : x
  2. Step 2: Convert to fraction form
    8,115.88/12,102.21 = 7,826.78/x
  3. Step 3: Cross multiply
    8,115.88x = 12,102.21 × 7,826.78
  4. Step 4: Simplify right side
    8,115.88x = 94,721,315.62
  5. Step 5: Solve for x
    x = 94,721,315.62/8,115.88
  6. Step 6: Final answer
    x = 11,671.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.