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Finding the Fourth Proportional to 13,422.58, 20,131.08 and 6,757.24

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Solution

The fourth proportional to 13,422.58, 20,131.08 and 6,757.24 is: 10,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.58 : 20,131.08 = 6,757.24 : x
  2. Step 2: Convert to fraction form
    13,422.58/20,131.08 = 6,757.24/x
  3. Step 3: Cross multiply
    13,422.58x = 20,131.08 × 6,757.24
  4. Step 4: Simplify right side
    13,422.58x = 136,030,539.02
  5. Step 5: Solve for x
    x = 136,030,539.02/13,422.58
  6. Step 6: Final answer
    x = 10,134.46

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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.