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Finding the Fourth Proportional to 4,786.40, 7,141.78 and 4,138.40

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Solution

The fourth proportional to 4,786.40, 7,141.78 and 4,138.40 is: 6,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.40 : 7,141.78 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    4,786.40/7,141.78 = 4,138.40/x
  3. Step 3: Cross multiply
    4,786.40x = 7,141.78 × 4,138.40
  4. Step 4: Simplify right side
    4,786.40x = 29,555,542.35
  5. Step 5: Solve for x
    x = 29,555,542.35/4,786.40
  6. Step 6: Final answer
    x = 6,174.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.