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Finding the Fourth Proportional to 8,137.49, 12,206.24 and 3,207.65

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Solution

The fourth proportional to 8,137.49, 12,206.24 and 3,207.65 is: 4,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.49 : 12,206.24 = 3,207.65 : x
  2. Step 2: Convert to fraction form
    8,137.49/12,206.24 = 3,207.65/x
  3. Step 3: Cross multiply
    8,137.49x = 12,206.24 × 3,207.65
  4. Step 4: Simplify right side
    8,137.49x = 39,153,345.74
  5. Step 5: Solve for x
    x = 39,153,345.74/8,137.49
  6. Step 6: Final answer
    x = 4,811.48

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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.