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Finding the Fourth Proportional to 13,995, 19,313.16 and 8,409.24

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Solution

The fourth proportional to 13,995, 19,313.16 and 8,409.24 is: 11,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995 : 19,313.16 = 8,409.24 : x
  2. Step 2: Convert to fraction form
    13,995/19,313.16 = 8,409.24/x
  3. Step 3: Cross multiply
    13,995x = 19,313.16 × 8,409.24
  4. Step 4: Simplify right side
    13,995x = 162,408,997.60
  5. Step 5: Solve for x
    x = 162,408,997.60/13,995
  6. Step 6: Final answer
    x = 11,604.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.