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Finding the Fourth Proportional to 13,383, 20,037.54 and 10,086.11

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Solution

The fourth proportional to 13,383, 20,037.54 and 10,086.11 is: 15,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383 : 20,037.54 = 10,086.11 : x
  2. Step 2: Convert to fraction form
    13,383/20,037.54 = 10,086.11/x
  3. Step 3: Cross multiply
    13,383x = 20,037.54 × 10,086.11
  4. Step 4: Simplify right side
    13,383x = 202,100,732.38
  5. Step 5: Solve for x
    x = 202,100,732.38/13,383
  6. Step 6: Final answer
    x = 15,101.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.