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Finding the Fourth Proportional to 13,474.14, 18,606.06 and 8,447

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Solution

The fourth proportional to 13,474.14, 18,606.06 and 8,447 is: 11,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.14 : 18,606.06 = 8,447 : x
  2. Step 2: Convert to fraction form
    13,474.14/18,606.06 = 8,447/x
  3. Step 3: Cross multiply
    13,474.14x = 18,606.06 × 8,447
  4. Step 4: Simplify right side
    13,474.14x = 157,165,388.82
  5. Step 5: Solve for x
    x = 157,165,388.82/13,474.14
  6. Step 6: Final answer
    x = 11,664.22

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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.