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Finding the Fourth Proportional to 3,672.40, 5,509.20 and 1,206.67

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Solution

The fourth proportional to 3,672.40, 5,509.20 and 1,206.67 is: 1,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.40 : 5,509.20 = 1,206.67 : x
  2. Step 2: Convert to fraction form
    3,672.40/5,509.20 = 1,206.67/x
  3. Step 3: Cross multiply
    3,672.40x = 5,509.20 × 1,206.67
  4. Step 4: Simplify right side
    3,672.40x = 6,647,786.36
  5. Step 5: Solve for x
    x = 6,647,786.36/3,672.40
  6. Step 6: Final answer
    x = 1,810.20

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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.