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Finding the Fourth Proportional to 9,940.37, 13,712.03 and 8,542.51

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Solution

The fourth proportional to 9,940.37, 13,712.03 and 8,542.51 is: 11,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.37 : 13,712.03 = 8,542.51 : x
  2. Step 2: Convert to fraction form
    9,940.37/13,712.03 = 8,542.51/x
  3. Step 3: Cross multiply
    9,940.37x = 13,712.03 × 8,542.51
  4. Step 4: Simplify right side
    9,940.37x = 117,135,233.62
  5. Step 5: Solve for x
    x = 117,135,233.62/9,940.37
  6. Step 6: Final answer
    x = 11,783.79

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1.5x scale

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.