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Finding the Fourth Proportional to 13,841.19, 20,759.53 and 3,978.22

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Solution

The fourth proportional to 13,841.19, 20,759.53 and 3,978.22 is: 5,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.19 : 20,759.53 = 3,978.22 : x
  2. Step 2: Convert to fraction form
    13,841.19/20,759.53 = 3,978.22/x
  3. Step 3: Cross multiply
    13,841.19x = 20,759.53 × 3,978.22
  4. Step 4: Simplify right side
    13,841.19x = 82,585,977.44
  5. Step 5: Solve for x
    x = 82,585,977.44/13,841.19
  6. Step 6: Final answer
    x = 5,966.68

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1.5x scale

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.