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Finding the Fourth Proportional to 13,876, 19,142.19 and 9,093.88

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Solution

The fourth proportional to 13,876, 19,142.19 and 9,093.88 is: 12,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876 : 19,142.19 = 9,093.88 : x
  2. Step 2: Convert to fraction form
    13,876/19,142.19 = 9,093.88/x
  3. Step 3: Cross multiply
    13,876x = 19,142.19 × 9,093.88
  4. Step 4: Simplify right side
    13,876x = 174,076,778.80
  5. Step 5: Solve for x
    x = 174,076,778.80/13,876
  6. Step 6: Final answer
    x = 12,545.17

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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.