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Finding the Fourth Proportional to 6,143.05, 8,471.78 and 4,553.65

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Solution

The fourth proportional to 6,143.05, 8,471.78 and 4,553.65 is: 6,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.05 : 8,471.78 = 4,553.65 : x
  2. Step 2: Convert to fraction form
    6,143.05/8,471.78 = 4,553.65/x
  3. Step 3: Cross multiply
    6,143.05x = 8,471.78 × 4,553.65
  4. Step 4: Simplify right side
    6,143.05x = 38,577,544.21
  5. Step 5: Solve for x
    x = 38,577,544.21/6,143.05
  6. Step 6: Final answer
    x = 6,279.87

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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.