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Finding the Fourth Proportional to 13,619.22, 20,414.31 and 7,763.22

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Solution

The fourth proportional to 13,619.22, 20,414.31 and 7,763.22 is: 11,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.22 : 20,414.31 = 7,763.22 : x
  2. Step 2: Convert to fraction form
    13,619.22/20,414.31 = 7,763.22/x
  3. Step 3: Cross multiply
    13,619.22x = 20,414.31 × 7,763.22
  4. Step 4: Simplify right side
    13,619.22x = 158,480,779.68
  5. Step 5: Solve for x
    x = 158,480,779.68/13,619.22
  6. Step 6: Final answer
    x = 11,636.55

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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.