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Finding the Fourth Proportional to 18,776.16, 25,910.70 and 10,278.06

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Solution

The fourth proportional to 18,776.16, 25,910.70 and 10,278.06 is: 14,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776.16 : 25,910.70 = 10,278.06 : x
  2. Step 2: Convert to fraction form
    18,776.16/25,910.70 = 10,278.06/x
  3. Step 3: Cross multiply
    18,776.16x = 25,910.70 × 10,278.06
  4. Step 4: Simplify right side
    18,776.16x = 266,311,729.24
  5. Step 5: Solve for x
    x = 266,311,729.24/18,776.16
  6. Step 6: Final answer
    x = 14,183.50

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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.