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Finding the Fourth Proportional to 17,142.56, 25,695.12 and 6,742.88

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Solution

The fourth proportional to 17,142.56, 25,695.12 and 6,742.88 is: 10,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.56 : 25,695.12 = 6,742.88 : x
  2. Step 2: Convert to fraction form
    17,142.56/25,695.12 = 6,742.88/x
  3. Step 3: Cross multiply
    17,142.56x = 25,695.12 × 6,742.88
  4. Step 4: Simplify right side
    17,142.56x = 173,259,110.75
  5. Step 5: Solve for x
    x = 173,259,110.75/17,142.56
  6. Step 6: Final answer
    x = 10,106.96

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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.