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Finding the Fourth Proportional to 11,779.80, 17,669.10 and 3,988.68

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Solution

The fourth proportional to 11,779.80, 17,669.10 and 3,988.68 is: 5,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.80 : 17,669.10 = 3,988.68 : x
  2. Step 2: Convert to fraction form
    11,779.80/17,669.10 = 3,988.68/x
  3. Step 3: Cross multiply
    11,779.80x = 17,669.10 × 3,988.68
  4. Step 4: Simplify right side
    11,779.80x = 70,476,385.79
  5. Step 5: Solve for x
    x = 70,476,385.79/11,779.80
  6. Step 6: Final answer
    x = 5,982.82

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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.