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Finding the Fourth Proportional to 8,135.84, 11,227.11 and 4,779

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Solution

The fourth proportional to 8,135.84, 11,227.11 and 4,779 is: 6,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.84 : 11,227.11 = 4,779 : x
  2. Step 2: Convert to fraction form
    8,135.84/11,227.11 = 4,779/x
  3. Step 3: Cross multiply
    8,135.84x = 11,227.11 × 4,779
  4. Step 4: Simplify right side
    8,135.84x = 53,654,340.77
  5. Step 5: Solve for x
    x = 53,654,340.77/8,135.84
  6. Step 6: Final answer
    x = 6,594.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.