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Finding the Fourth Proportional to 14,651.29, 20,218.78 and 7,936.86

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Solution

The fourth proportional to 14,651.29, 20,218.78 and 7,936.86 is: 10,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.29 : 20,218.78 = 7,936.86 : x
  2. Step 2: Convert to fraction form
    14,651.29/20,218.78 = 7,936.86/x
  3. Step 3: Cross multiply
    14,651.29x = 20,218.78 × 7,936.86
  4. Step 4: Simplify right side
    14,651.29x = 160,473,626.23
  5. Step 5: Solve for x
    x = 160,473,626.23/14,651.29
  6. Step 6: Final answer
    x = 10,952.87

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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.