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Finding the Fourth Proportional to 11,871.70, 17,806.71 and 4,080.34

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Solution

The fourth proportional to 11,871.70, 17,806.71 and 4,080.34 is: 6,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.70 : 17,806.71 = 4,080.34 : x
  2. Step 2: Convert to fraction form
    11,871.70/17,806.71 = 4,080.34/x
  3. Step 3: Cross multiply
    11,871.70x = 17,806.71 × 4,080.34
  4. Step 4: Simplify right side
    11,871.70x = 72,657,431.08
  5. Step 5: Solve for x
    x = 72,657,431.08/11,871.70
  6. Step 6: Final answer
    x = 6,120.22

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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.