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Finding the Fourth Proportional to 18,800.32, 25,944.34 and 10,416.80

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Solution

The fourth proportional to 18,800.32, 25,944.34 and 10,416.80 is: 14,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,800.32 : 25,944.34 = 10,416.80 : x
  2. Step 2: Convert to fraction form
    18,800.32/25,944.34 = 10,416.80/x
  3. Step 3: Cross multiply
    18,800.32x = 25,944.34 × 10,416.80
  4. Step 4: Simplify right side
    18,800.32x = 270,257,000.91
  5. Step 5: Solve for x
    x = 270,257,000.91/18,800.32
  6. Step 6: Final answer
    x = 14,375.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.