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Finding the Fourth Proportional to 11,855.36, 17,793.78 and 6,313.40

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Solution

The fourth proportional to 11,855.36, 17,793.78 and 6,313.40 is: 9,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.36 : 17,793.78 = 6,313.40 : x
  2. Step 2: Convert to fraction form
    11,855.36/17,793.78 = 6,313.40/x
  3. Step 3: Cross multiply
    11,855.36x = 17,793.78 × 6,313.40
  4. Step 4: Simplify right side
    11,855.36x = 112,339,250.65
  5. Step 5: Solve for x
    x = 112,339,250.65/11,855.36
  6. Step 6: Final answer
    x = 9,475.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.