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Finding the Fourth Proportional to 11,660.39, 16,090.85 and 6,355.08

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Solution

The fourth proportional to 11,660.39, 16,090.85 and 6,355.08 is: 8,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.39 : 16,090.85 = 6,355.08 : x
  2. Step 2: Convert to fraction form
    11,660.39/16,090.85 = 6,355.08/x
  3. Step 3: Cross multiply
    11,660.39x = 16,090.85 × 6,355.08
  4. Step 4: Simplify right side
    11,660.39x = 102,258,607.24
  5. Step 5: Solve for x
    x = 102,258,607.24/11,660.39
  6. Step 6: Final answer
    x = 8,769.75

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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.