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Finding the Fourth Proportional to 17,142.60, 25,712.82 and 5,464.20

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Solution

The fourth proportional to 17,142.60, 25,712.82 and 5,464.20 is: 8,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.60 : 25,712.82 = 5,464.20 : x
  2. Step 2: Convert to fraction form
    17,142.60/25,712.82 = 5,464.20/x
  3. Step 3: Cross multiply
    17,142.60x = 25,712.82 × 5,464.20
  4. Step 4: Simplify right side
    17,142.60x = 140,499,991.04
  5. Step 5: Solve for x
    x = 140,499,991.04/17,142.60
  6. Step 6: Final answer
    x = 8,195.96

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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.