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Finding the Fourth Proportional to 11,991.30, 16,542.81 and 8,258.82

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Solution

The fourth proportional to 11,991.30, 16,542.81 and 8,258.82 is: 11,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.30 : 16,542.81 = 8,258.82 : x
  2. Step 2: Convert to fraction form
    11,991.30/16,542.81 = 8,258.82/x
  3. Step 3: Cross multiply
    11,991.30x = 16,542.81 × 8,258.82
  4. Step 4: Simplify right side
    11,991.30x = 136,624,090.08
  5. Step 5: Solve for x
    x = 136,624,090.08/11,991.30
  6. Step 6: Final answer
    x = 11,393.60

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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.