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Finding the Fourth Proportional to 6,139.14, 8,469.12 and 4,150.40

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Solution

The fourth proportional to 6,139.14, 8,469.12 and 4,150.40 is: 5,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.14 : 8,469.12 = 4,150.40 : x
  2. Step 2: Convert to fraction form
    6,139.14/8,469.12 = 4,150.40/x
  3. Step 3: Cross multiply
    6,139.14x = 8,469.12 × 4,150.40
  4. Step 4: Simplify right side
    6,139.14x = 35,150,235.65
  5. Step 5: Solve for x
    x = 35,150,235.65/6,139.14
  6. Step 6: Final answer
    x = 5,725.60

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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.