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Finding the Fourth Proportional to 13,002, 19,502.97 and 4,236.90

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Solution

The fourth proportional to 13,002, 19,502.97 and 4,236.90 is: 6,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002 : 19,502.97 = 4,236.90 : x
  2. Step 2: Convert to fraction form
    13,002/19,502.97 = 4,236.90/x
  3. Step 3: Cross multiply
    13,002x = 19,502.97 × 4,236.90
  4. Step 4: Simplify right side
    13,002x = 82,632,133.59
  5. Step 5: Solve for x
    x = 82,632,133.59/13,002
  6. Step 6: Final answer
    x = 6,355.34

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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.