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Finding the Fourth Proportional to 12,906.43, 17,811.06 and 7,242.43

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Solution

The fourth proportional to 12,906.43, 17,811.06 and 7,242.43 is: 9,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.43 : 17,811.06 = 7,242.43 : x
  2. Step 2: Convert to fraction form
    12,906.43/17,811.06 = 7,242.43/x
  3. Step 3: Cross multiply
    12,906.43x = 17,811.06 × 7,242.43
  4. Step 4: Simplify right side
    12,906.43x = 128,995,355.28
  5. Step 5: Solve for x
    x = 128,995,355.28/12,906.43
  6. Step 6: Final answer
    x = 9,994.66

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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.