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Finding the Fourth Proportional to 11,820.40, 17,729.40 and 4,029.10

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Solution

The fourth proportional to 11,820.40, 17,729.40 and 4,029.10 is: 6,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.40 : 17,729.40 = 4,029.10 : x
  2. Step 2: Convert to fraction form
    11,820.40/17,729.40 = 4,029.10/x
  3. Step 3: Cross multiply
    11,820.40x = 17,729.40 × 4,029.10
  4. Step 4: Simplify right side
    11,820.40x = 71,433,525.54
  5. Step 5: Solve for x
    x = 71,433,525.54/11,820.40
  6. Step 6: Final answer
    x = 6,043.24

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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.