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Finding the Fourth Proportional to 11,871.64, 17,808.48 and 3,106.54

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Solution

The fourth proportional to 11,871.64, 17,808.48 and 3,106.54 is: 4,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.64 : 17,808.48 = 3,106.54 : x
  2. Step 2: Convert to fraction form
    11,871.64/17,808.48 = 3,106.54/x
  3. Step 3: Cross multiply
    11,871.64x = 17,808.48 × 3,106.54
  4. Step 4: Simplify right side
    11,871.64x = 55,322,755.46
  5. Step 5: Solve for x
    x = 55,322,755.46/11,871.64
  6. Step 6: Final answer
    x = 4,660.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.