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Finding the Fourth Proportional to 11,871.10, 17,806.80 and 3,106

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Solution

The fourth proportional to 11,871.10, 17,806.80 and 3,106 is: 4,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.10 : 17,806.80 = 3,106 : x
  2. Step 2: Convert to fraction form
    11,871.10/17,806.80 = 3,106/x
  3. Step 3: Cross multiply
    11,871.10x = 17,806.80 × 3,106
  4. Step 4: Simplify right side
    11,871.10x = 55,307,920.80
  5. Step 5: Solve for x
    x = 55,307,920.80/11,871.10
  6. Step 6: Final answer
    x = 4,659.04

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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.