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Finding the Fourth Proportional to 3,946.65, 5,443.65 and 3,200.64

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Solution

The fourth proportional to 3,946.65, 5,443.65 and 3,200.64 is: 4,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.65 : 5,443.65 = 3,200.64 : x
  2. Step 2: Convert to fraction form
    3,946.65/5,443.65 = 3,200.64/x
  3. Step 3: Cross multiply
    3,946.65x = 5,443.65 × 3,200.64
  4. Step 4: Simplify right side
    3,946.65x = 17,423,163.94
  5. Step 5: Solve for x
    x = 17,423,163.94/3,946.65
  6. Step 6: Final answer
    x = 4,414.67

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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.