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Finding the Fourth Proportional to 12,209.67, 18,314.55 and 2,975.67

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Solution

The fourth proportional to 12,209.67, 18,314.55 and 2,975.67 is: 4,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.67 : 18,314.55 = 2,975.67 : x
  2. Step 2: Convert to fraction form
    12,209.67/18,314.55 = 2,975.67/x
  3. Step 3: Cross multiply
    12,209.67x = 18,314.55 × 2,975.67
  4. Step 4: Simplify right side
    12,209.67x = 54,498,057.00
  5. Step 5: Solve for x
    x = 54,498,057.00/12,209.67
  6. Step 6: Final answer
    x = 4,463.52

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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.