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Finding the Fourth Proportional to 13,400, 20,101.44 and 6,007.76

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Solution

The fourth proportional to 13,400, 20,101.44 and 6,007.76 is: 9,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 20,101.44 = 6,007.76 : x
  2. Step 2: Convert to fraction form
    13,400/20,101.44 = 6,007.76/x
  3. Step 3: Cross multiply
    13,400x = 20,101.44 × 6,007.76
  4. Step 4: Simplify right side
    13,400x = 120,764,627.17
  5. Step 5: Solve for x
    x = 120,764,627.17/13,400
  6. Step 6: Final answer
    x = 9,012.29

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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.