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Finding the Fourth Proportional to 13,992, 20,989.44 and 4,133.76

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Solution

The fourth proportional to 13,992, 20,989.44 and 4,133.76 is: 6,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 20,989.44 = 4,133.76 : x
  2. Step 2: Convert to fraction form
    13,992/20,989.44 = 4,133.76/x
  3. Step 3: Cross multiply
    13,992x = 20,989.44 × 4,133.76
  4. Step 4: Simplify right side
    13,992x = 86,765,307.49
  5. Step 5: Solve for x
    x = 86,765,307.49/13,992
  6. Step 6: Final answer
    x = 6,201.07

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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.