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Finding the Fourth Proportional to 8,385.38, 11,571.82 and 4,659.38

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Solution

The fourth proportional to 8,385.38, 11,571.82 and 4,659.38 is: 6,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.38 : 11,571.82 = 4,659.38 : x
  2. Step 2: Convert to fraction form
    8,385.38/11,571.82 = 4,659.38/x
  3. Step 3: Cross multiply
    8,385.38x = 11,571.82 × 4,659.38
  4. Step 4: Simplify right side
    8,385.38x = 53,917,506.67
  5. Step 5: Solve for x
    x = 53,917,506.67/8,385.38
  6. Step 6: Final answer
    x = 6,429.94

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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.