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Finding the Fourth Proportional to 17,178.72, 25,773 and 8,416.20

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Solution

The fourth proportional to 17,178.72, 25,773 and 8,416.20 is: 12,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178.72 : 25,773 = 8,416.20 : x
  2. Step 2: Convert to fraction form
    17,178.72/25,773 = 8,416.20/x
  3. Step 3: Cross multiply
    17,178.72x = 25,773 × 8,416.20
  4. Step 4: Simplify right side
    17,178.72x = 216,910,722.60
  5. Step 5: Solve for x
    x = 216,910,722.60/17,178.72
  6. Step 6: Final answer
    x = 12,626.71

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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.