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Finding the Fourth Proportional to 13,986, 20,983.05 and 4,752

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Solution

The fourth proportional to 13,986, 20,983.05 and 4,752 is: 7,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,983.05 = 4,752 : x
  2. Step 2: Convert to fraction form
    13,986/20,983.05 = 4,752/x
  3. Step 3: Cross multiply
    13,986x = 20,983.05 × 4,752
  4. Step 4: Simplify right side
    13,986x = 99,711,453.60
  5. Step 5: Solve for x
    x = 99,711,453.60/13,986
  6. Step 6: Final answer
    x = 7,129.38

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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.