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Finding the Fourth Proportional to 11,712.38, 16,169.77 and 7,745

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Solution

The fourth proportional to 11,712.38, 16,169.77 and 7,745 is: 10,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.38 : 16,169.77 = 7,745 : x
  2. Step 2: Convert to fraction form
    11,712.38/16,169.77 = 7,745/x
  3. Step 3: Cross multiply
    11,712.38x = 16,169.77 × 7,745
  4. Step 4: Simplify right side
    11,712.38x = 125,234,829.93
  5. Step 5: Solve for x
    x = 125,234,829.93/11,712.38
  6. Step 6: Final answer
    x = 10,692.52

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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.